Q 6% Unitarily diagonalize the quadratic form Q (2²1, 22₂, 2²3) = 4x² + 4x² + 4x²²³² + 2x₁x2-2x1 x3 + 2x2x3. you have to show work clearly!

Q: Describe the Quadratic method?

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Q: Solve the problem. 11) Find a polynomial for the perimeter of the rectangle. (4x + 6) units - X +…

A: The perimeter is the length of the outline of a shape. To find the perimeter of a rectangle we have…

Q: Express as a polynomial.

A: To express 13a2+4b13a2-4b as a polynomial. Solution: We have identity a+ba-b=a2-b2. Using the above…

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

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Q: 4. Which of the following is a quadratic equation? A. 2x? + 6r - 1 B. 8t - 8 = 10 C. x² + 4x -6 = 0…

A: According to our guideline we can only answer first question and rest can be reposted.

Q: (3х — 1) (х + 6) and andard quadratic form

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Q: REVIEW: Order of Operations Find the standard form of each qu 11 y= (x+2)-4 13. y = -(x+3)* -6

A: 1 here given that y=(x+2)^2 -4     Y=x^2 +2x +4-4 y=x^2 +2x this is standered equation of quadratic

Q: MBF 3C1 - April 2022 UNIT 3 ASSESSMENT 1 - QUADRATICS II Knowledge/Understanding 1. Multiply and…

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Q: Classify the quadratic form below. Then make a change of variable, x = Py, that transforms the…

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Q: After making a change of variable, the quadratic form x+ x+ x + 6x1x2 + 14x1x3 + 6x2X3 is…

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Q: Practice the technique with the following quadratics: (i) x? – 8x + 7 (ii) 2x2 – 5x + 1 (iii) Зx? —…

A: we have to represent given quadratic equations in the form a(x-h)2+k

Q: 08. Classify the quadratic form. Then make a change of variable, x = Py, that transforms the…

A: Given quadratic form is, The quadratic form can be written as, The matrix for the quadratic form…

Q: Grouping

A: We have to compute the factor according to the given information

Q: 2. Change the fbllowing "factored form" equations, into "standard form." y (x + 4)(x - 7) b. y = (x…

A: Standard form

Q: Write the following equation in standard form by completing the square. y2-12y - 8x+ 20 = 0 O (y +…

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Q: 2. Complete the square to rewrite each quadratic equation in the form f (x) = a(x – h)² + k Find the…

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Q: c). 10x² - 20x -80 d). -5x² + 10x + 15

A: We have given a polynomial and finding the factor

Q: Classify the quadratic form below. Then make a change of variable, x= Py, that transforms the…

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Q: Find the maximum/minimum value of y = 10-4x - 3x² and where it occurs using completing the square.

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

Q: Find the solutions of the following quadratic equations by factoring: 7x²-14x=0 2 x² + 12x+27= 0 3…

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Q: consider: x2 +8x-33=0 use the "completing the square" process to write this equation in the form of…

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Q: 1. x2 + 2x + 2. 6. x2 + 3x + 3. x2 + 6x + - 4. x + 5x + 5. x2 - 10x+

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Q: Classify the quadratic form below. Then make a change of variable, x= Py, that transforms the…

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Q: i. Factorize: (2x+ 3y)? - (x – 4y)? x-2 x+2 ii. Using completing the squares method, solve, correct…

A: Given,

Q: Classify the quadratic form below. Then make a change of variable, x= Py, that transforms the…

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Q: What is the vertex of the quadratic y = 6(x – 2)² + 10?

A: Given quadratic equation ;   y = 6 (x -2)2 + 10 On simplifying; y = 6( x2 +4 -4x) + 10 y =  6x2 -24x…

Q: Complete the square for each of the following quadratic forms

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

A: The discriminant, D , for the quadratic equation, is calculated using the formula, .