Find p so that  x2 - 6x + p = 0  has one root (i.e. is a perfect square)

Q: Solve the following quadratic. SHOW YOUR WORK! 3x2 + 48x + 189 = y

A: Given: y=3x2+48x+189

Q: Compute the value of the discriminant and give the number of real solutions of the quadratic…

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Q: B. Find the value of k that makes x2 + (k + 5)x + (5k + 1) a perfect square.

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Q: Find two positive real numbers such that they add to 40 and their product is as large as possible.

A: Our Aim is to find two positive real numbers a and b such that they add to 40 and their product is…

Q: Show that the square of any integer is of the form 3m or 3m+1 but not of form 3m+2.

A: Proof :-

Q: 38 a Complete the square for x² – 8x + 25. b Hence find 2x +7 dr. x² - 8x + 25

A: To complete the given square and to evaluate the given integral.

Q: Show that the roots of px2 + (p - q)x - q = 0 are real for all real values of p and q.

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Q: 3. (x+7) What pattem do you see with these three perfect squares? Double check your hypotheses by…

A: Given x+72

Q: Determine the roots algebraically by fact a) x- 8x2- 3x + 90 = 0 b) x + 9x + 21x - x - 30 = 0 c)…

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Q: Suppose that  f(x)=−5x2−10x+6. Find the value of  k  in the quadratic formula below. x = -k +…

A: Given function f(x) - f(x) = -5x2-10x+6The above equation is a quadratic equation of the form -…

Q: Phythagoras was the one who formulated one of the earliest theorems known to ancient civilizations…

A: Yes the given statement is true  Because approx 2000years ago a theorem is granted named as ancient…

Q: 2. Which of the following binomials is a factor of the quadratic expression, three x-twenty-six x +…

A: Consider the quadratic expression: 3x2-26x+16

Q: simplify the radical that is nor a perfect square √75x^7y^5

A: Simplify the redical that is nor a perfect square.   √ (75x7y5 ) . Here i attached solution of this…

Q: Form a quadratic with real coefficients having amongst its roots -6+i

A: As given in this question, one root is imaginary then other will also be an imaginary roots.

Q: Q10.  Find the roots algebraically by factoring:  a) x3 – 8x2-3x +90 b) x3 – 64

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Q: 8. Express (3x - 4)(x + 7) - ² a as a trinomial in standard form.

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Q: The roots of (x + 1)2 + 1 = 0 are

A: NOTE: Refresh your page if you can't see any equations. . subtract 1 from both sides

Q: n 10x + 11y = n has

A: The equation as, ax+by=S. The smallest positive integer S is expressed as, S=(k+1)*a*b

Q: 16. Show that (x + 1) is a factor of p(x) = x³ + 2x² + 3x +2

A: We have to show that x+1 is a factor of p(x)=x2+2x2+3x+2 .

Q: Prove that 3n² - 1 is never a perfect square.

A: Perfect square: An integer n is said to be a perfect square if n=k.k for some integer k  We now…

Q: Choose only one method under the LU Factorization Method to find the roots of the following set of…

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Q: Which integers are quadratic residues of 11?

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Q: Which function is not quadratic? (O Ax) = (6x+ 9) -9 ()-x(x-9)(6x + 8) U Ax) = 7x + 8 Ax) = 6(x- 9)2

A: We have to check