a. Show that If 1 iv3 z = 2 2 Then z7 = z. b. Evaluate all the roots of the Equation: z* + 16 = 0

Q: If y = C1 + C2x +e2*(C3cosx + C4sinx), then the roots are

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Q: If the roots of the equation a(b - c)x² +b(c - a)x + c (a - b) = 2 11 are equal, show that ==±+:

A: We can use properties of square of three no. To solve the problem

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

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Q: If the sum of the roots of the equation 1/(x+ a) + 1/(x + b) = 1/c is zero, then prove that the…

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Q: Solve the following quadratic equation for all values of x in simplest form. (3x – 1)2 – 49 = –13 -

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Q: C. Pick the correct roots/zeros in the following polynomial equations: 1. x-7x+ 6 0 (6, -1, 2 1,…

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Q: Rewrite the following quadratic function y = x2 + 2x – 77/22 in vertex form by completing the…

A: The question  asked about the basic concepts  related to quadratic  equations.

Q: Find the change of variable x = Py that transforms the quadratic form x' Ax into y' Dy as shown. 2 −…

A: Matrix A is of quadratic form ( from LHS) and D be diagonal matrix of eigen values (from RHS)…

Q: 1. Solve the following equations and list all the roots. a) (x² – 25)(x² + 5x – 14) = 0 b) (2x +…

A: Simplify the equation then find roots.

Q: Solve the roots of the following quadratic equations. 3(x+2)^2 = 48

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Q: A. Convert the following quadratic functions y ax? + bx + c in the form y = a(x - h) + k 1. y = x² +…

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Q: Suppose XY is congruent to YZ. If XY is 8x + 8 and YZ = 2x + 18 what is the value of x? If needed,…

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Q: value of its discriminant is positive and perfect square? * a. The roots are not real.. b. The roots…

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Q: 29. Use the quadratic formula to find the roots of the following quadratic: y = 2x² – 11x + 5 -

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Q: Let r₁ and r2 be two different roots of the equation ax² +2bx+c = 0. Without solving the equation,…

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Q: Answer the following: 1. Characterize the roots of the following quadratic equations using the…

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Q: 2x2 + 3х- 5%3 0

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Roots

The main dissimilarity between real and complex roots is that the real roots are obtained as real numbers, in contrast with the complex roots, which are indicated as imaginary numbers. The standard format for depicting any complex number is in the form of a + bi.