5) Solve the following quadratic congruence equations. d) 5x? + 12x + 11 = 0 mod 17

Q: 4. Given that 3-2i is a root of the equation z-6z³+18z²+pz+65-0, find all the roots and the real…

A: If  is a root of  then its conjugate  is also a root of  and hence  is a factor of .

Q: 4. (2.1) Solve the following equations: a) x² – 3 x = x² – 5x +4 b) 12x? = 25x w2-10 c) w+2 +w – 4 =…

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Q: Solve, giving 4 roots, x*- 13x + 36 = 0 O 1) 2,3, O 2) -2, 2, -3, 3 O 3) -2i, 2i , 3 O 4) -3i, 3i,…

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Q: Solve the following equation. √2+78+√√2-2 = 10 Z= commas.) (If there is more than one solution,…

A:

Q: use Property 6.1 to help solve each quadratic equation. x2 = -49

A: To solve the equation: x2=-49 Solution: We know that if x2=a then x=±a. Using above property the…

Q: The quadratic form Q = x' – 4xz + 6y? + 422 is:

A:

Q: Given the quadratic expression p(q) = 2 − r² + 4q − 4 − 7q + 8q² − 10r, identify and state the…

A: Answer:  a=8b=−3c=−2−r2−10rExplanation:Step 1:

Q: 5. Find all integer solutions to 6s+ 14t+21u = 1.

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Q: ve the following quadratic equation either by factoring or using quadratic formul x2 – 8x + 15 = 0

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Q: Solve each equation with the quadratic formula. 1) 4n2- 6n = 14 2) 3x - 26 = -7x 3) 7x =-x + 15 4)…

A: We can make it easier for you.

Q: Find all integer solutions to 25s+ 14t = 1. O

A: Given equation25s + 14t = 1We have to find all integer solutions for s and t.

Q: Use the given LU factorization to find all solutions to Ax = b 1 0 17 A = -496 ²3].b = [58] 1 X =

A: We have to find the value of x using LU decomposition method

Q: Fix an integer . Prove that the equation xn+xn-1+...+x-1=0 has a unique positive solution.

A: We have to prove that the equation xn+xn-1+...+x-1=0 has a unique positive solution. Explanation:…

Q: use Property 6.1 to help solve each quadratic equation. 3(x + 7)2 + 4 = 79

A: Given property 6.1,  For any real number a, x2=a if and only if x=a or x=-a

Q: Find all integer solutions r, y,p to the equation I+y+x² + y? = p such that p is a prime number.

A: In this equation, two integers and their squares are added on the LHS. Squares of integers are…

Q: 2z Solution for 3* 9 ²² * 27 ²-1 a) -1/2 b) 1/2 c) 1/7 d)-1/7 e) 1/9

A: I have appended the formula used in the solution procedure

Q: ints) Check the definiteness of the following quadratic form; Q(x1,x2,x3) = 2xỉ + 3x3 – x + 5x1x3+…

A: Given that Qx1,x2,x3=2x12+3x22−x32+5x1x3+x2x3 is a quadratic form. It is required to check the…

Q: a13 = 47 (mod 713) kongrüansının çözümünü bulunuz. 4) ..find the solution of congruence

A: Given that x43≡47 (mod 713) ⇒X43-47 is divisible by 713 Let 713m=x43-47 ⇒713m+47=x43---->eqn(1)…

Q: 22) 6x² - 126 = x 14 91 A) B) C) D) 3 2 -1 + √505 -1- √505 2 2 11+√89 11-√√√89 2 2 -11-√249 -11 +…

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Q: 9] Using the discriminant, choose the pair(s) of integers that can be substituted into the equation…

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Q: Solve the following linear Diophantine equation, using modular arithmetic (describe the general…

A: A linear Diophantine equation ax+by=c it has integer solution if gcd(a,b) divides c.  By division…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.