2. Write an equation in standard form ax? + bx + c that has roots of x = 4,. %3D

Q: Write the quadratic equation whose roots are 3 and -3, and whose leading coefficient is 5. (Use the…

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Q: Write the quadratic equation whose roots are -1 and 4, and whose leading coefficient is 1. (Use the…

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Q: Use the discriminant to determine the nature of the solutions of the equation.

A: The discriminant of a quadratic equation ax2+bx+c=0 is given by the expression D=b2-4ac. If the…

Q: Show that the product of the roots of a quadratic equation is c/a .

A: Consider the quadratic equation ax2+bx+c=0 Also consider that α and β are the roots of the quadratic…

Q: 6) Create an equation that is equivalent to the given equation: 2(x+ 3) = 14.

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Q: If the roots of the equation a(b - c)x² +b(c - a)x + c (a - b)=0 2 _ 1 ,1. are equal, show that а с

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Q: Write a quadratic equation with integer coeffcients and the given numbers as solutions. Use x as the…

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Q: Which of the following equations is a quadratic equation?

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Q: Write the guadratic equation whose rootsS are –6 and 2, and whose leading coefficient Is (Use the…

A: Solution: Given roots -6 and 2, and the leading coefficient is 1

Q: What is the possible values of b when the difference between the roots of the equation x² + bx +1=0…

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Q: use logs to solve for exact and approximate solution(s) to the equation 3x-1 = 5²x

A: Given- 3x-1=52x To use- Logarithm to solve the above expression.

Q: Solve and express solutions in standard form: x? = 4x - 8. %3D

A: Given quadratic equation is: x2=4x-8 This equation can be re-written as: x2-4x+8=0 We have to solve…

Q: 3x²

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Q: 2. The number of cells in a culture at time t, in hours, is modeled by the equation: N(t) = 500ez0,…

A: Given thatThe equation of number of cells in a culture at time t , in hoursN(t)=500et20(b)  rate of…

Q: Write the quadratic equation whose roots are 3 and 2, and whose leading coefficient is 4.

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Q: & and ß are the roots of a quadratic equation such that a + B = 2 and aß =. The value 3. *of a' + B?…

A: we have to find the following

Q: Write a quadratic equation in standard form with roots -7/3 and 2 and passing through the point…

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Q: Write a quadratic equation in standard form with - 4 and 3/2 as its roots.

A: Given that a quadratic equation whose roots are -4 and 32

Q: Solve the equation 12r + 16x - 5x – 3 = 0 given that - is a root. %3D

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Q: Solve for a a %3D 2m²

A: Solve for a

Q: Solve the equation over the set of real numbers csc22x = 2

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Q: Solve equation: (AUX)B=AUBX

A: Given: A∪X×B=A∪B×X Now, A∪X×B=A×B∪X×B

Q: When a quadratic equation has a repeated solution, it is called a(n) _______  root or a root of…

A: When a quadratic equation has a repeated solution, it is called a(n) _______  root or a root of…

Q: Write the quadratic equation in vertex form given vertex (O, 3), point (-1, 5) O y= -x? ++ 3 O y=…

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Q: I. Find the solution sets, discriminant, quadratic equation and describe roots of the following…

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Q: Write a quadratic equation in standard form with the given root(s). 1-8,5 2 1 3

A: As per your demand we solve question 2 for you Given problem:- Write a quadratic equation in…

Q: If AC = 8x-14 and EC = 2x +11, solve for x. %3D В A

A: Using the property that "The diagonals  of a parallelogram bisect each other"  , we can find the…

Q: Write the quadratic equation whose roots are -4 and 6, and whose leading coefficients is 1.

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Q: Classify each of these equations as exponential, quadratic or line a) y = 2x - 1 b) y = 4x? + x - 1…

A: Classify the given equations as exponential, quadratic or linear models a)y=2x-1 b)y=4x2+x-1 c)y=3x2…

Q: Solve the follow stem हिडन्छ -5 =11 3x + %3D

A: We can solve the system by using the elimination method. In elimination method, we can add two…

Q: When shifting right or left in a quadratic equation which term in ax^2+bx+c would you use?

A: The quadratic equation is ax2+bx+c

Q: Write the quadratic equation whose roots are 4 and 1, and whose leading coefficient is 1, (Use the…

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Q: If the roots of the equation a(b-c)x² + b(c-a)x+ c(a - b) = 0 - are equal, show that 2/b = 1/a +…

A: What is Discriminent: The discriminant of a higher degree equation in one variable determines the…

Q: Solve /5a + 24 — г.

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Q: Use the constant term and leading coefficient to list all the potential roots of the expression. 5x*…

A: The given expression,   5x4+x3+3x2-7

Q: Show by completing a square that the solution to the equation ax^2-bx-a=b are x=-1 and x=(a+b)/a

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Q: Write the quadratic equation whose roots are -3 and -2, and whose leading coefficient is 3. (Use the…

A: Roots of a quadratic equation is given ,and we have to find quadratic equation with desired leading…

Q: Determine the quadratic equation whose sum and product of the roots are 1/4 and -5, respectively.

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Q: Write a quadratic equation with integer coefficients and the given numbers as solutions. (Use x as…

A: If there are two solutions a,b then the quadratic equation with the independent variable will be:…

Q: Give a quadratic equation whose solutions are x=1/2 and x=4

A: Solution: The objective is to find the quadratic equation

Q: If using the method of completing the square to solve the qudratic equation x2 - 5x - 23 = 0, which…

A: The given quadratic equation is: x2 - 5x - 23 = 0 To solve this quadratic equation by completing the…

Q: Illustrate how one can complete the square using symbolic notation and algebra tiles to rewrite the…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: ELIMINATE THE ARBITRARY CONSTANT/S IN THE EQUATION. 1. у%3D Ае2х + Bxe2x 2. у%3D Ах2 + Ве-* 3. у%3D…

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Q: The sum of the roots of a cubic equation x3 + ax2 + bx +c = 0 is

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Q: Write the quadratic equation whose roots are -6 and 4, and whose leading coefficient is 2. (Use the…

A: Topic = Quadratic equation

Q: Which value is an exact solution of the equation m2 = 14?

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Q: Write a quadratic equation with integer coefficients and the given numbers as solutions. (Use x as…

A: We have been given that -1/3 and 5 are solutions of a quadratic equation and we are supposed to…