1. Solve the following equations and list all the roots. a) (x² – 25)(x² + 5x – 14) = 0 b) (2x + 7)(x – 3) = x(x – 2) + 7 c) 4x* - 20 = 5x4 - 13x2 + 16

Q: 1.Solve the following polynomial equations.  a) 2X2+1=x2+2X b) x3+6x2+11x+6=0 C)x5-4x3-x2+4=0…

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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

Q: Find all the solutions to the polynomial: x* + 4x°+7x² + 16x + 12 = 0 1 -4 -2i O 2i -3 O -1

A: A polynomial function is a function that involves only non-negative integer powers or only positive…

Q: 1.Solve the following polynomial equations.  a)  2X3+1=x2+2X

A: For solving a polynomial equation put

Q: What is the solution to this quadratic: x2-6x +9 0 {3) {-3+3i/2, -3 – 3i/2} {-6+6i/2, -6 – 6i/2} {0,…

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Q: What are the roots of the equation x2 + 2x + 37 = 0 in simplest a + bi form?

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Q: Determine a change of variables (make sure the coefficient of ₁ is po ₁+ X2 /1 and 12 so that + x₁+…

A: Given that the quadric from                            q= 30x21+(-5)x22+(-120)x1x2…

Q: Find all the real roots of the following polynomial equation. 1.) (3x+2)(x2-25)=0 2.)…

A: As per bartleby guidelines we only give first question answers.

Q: 1.Solve the following polynomial equations.  a)  2X2+1=x2+2X b)   x3+6x2+11x+6=0 C)…

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Q: 1. Consider the quadratic equation 3x -6 = 2x. (a) What is the value of the discriminant? (b) What…

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Q: Find all the real roots of p(x) = 3x3 – 14x? – 125x + 532 19 given that one of the roots is = 3 19 X…

A: We can solve the problem by doing the multiplication at first.

Q: (b) The roots of the quadratic equation 3x-11x+9=0 are a and B. Form a quadratic equation whose…

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Q: Which of the following quadratic equations is in standard form? (a) x - 7x = 5 (c) (x + 5)(x – 4) =…

A: A polynomial is basically a function, which can either be quadratic, cubic, and so on in which the…

Q: The value of a for which one root of the quadratic equation (a? – 5a + 3) x² + (3a – 1) x + 2 = 0 is…

A: Introduction :

Q: 5x 4 22+3а — 40 4а —20

A: Given rational function 5xx2+3x-40-44x-20

Q: 1.Solve the following polynomial equations.  a)  2X2+1=x2+2X

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Q: What are the roots of the equation x2 + 14x + 50 = 0 in simplest a + bi form?

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Q: 1.Solve the following polynomial equations.  a)  2X3+1=x2+2X

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Q: Determine the solutions of each quadratic equation by extracting the square roots a) (Зх — 3)2 — 363…

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Q: 1.Solve the following polynomial equations.  a)  2X2+1=x2+2X b)   x3+6x2+11x+6=0 C)…

A: Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…

Q: 1.Solve the following polynomial equations.  a)  2X3+1=x2+2X

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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