Make a change of variable, x = Py, that transforms the quadratic form x? + 10xjx2 +x; into a quadratic form with no cross-product term. Give P and the new quadratic form.

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

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

Q: After a change of variable, the quadratic form 2( * } ) = 3x} – 2x1x2 + 3x X2 may be written in the…

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Q: Complete the square to rewrite the quadratic polynomial 3x2 − 30x + 82 in the form a(x − β)2 + γ

A: 3x2 − 30x + 82 It can be rewritten as 3(x2-10x)+82

Q: Use the method of completing the square to express f(x) = 3x - 24x + 58 in vertex form. %3D

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Q: To complete the square of x2 - 4x, add______

A: Given x2-4x

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Q: Find the change of variable x = Py that transforms the quadratic form xTAx into yTDy as shown 2x? +…

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A: We know that the vertex, (h, k) of a parabola is a point where is minimum or maximum.  The vertex…

Q: List the zeros of y = x(x +4). If you have more than one solution, separate them with commas.

A: Given that: y=x(x+4)

Q: Verify that the quadratic form ax? +bxy +cy²is the same as - [x y]

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Q: Solve by substitution:  − x + 3y = 12y = 6x + 21

A: To solve the given equations by substitution method.

Q: The equation m2/3 + 10m1/3 + 9 = 0 is said to be in __________form, because making the substitution…

A: In mathematical expressions/equations, power to which a variable has been raised is called an…

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

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Q: - Classify the quadratic forms below. 9(x1)? - 8x1x2 + 3(x2)? b. -5(x,)² + 4x,x,- 2(x,)2 a.

A: Here is the solution of the given problem. Quadratic Forms:

Q: Use the discriminant to determine the number of roots. Y=3x^2+4x+4/3

A: To determine the nature of the roots of the quadratic equation of the form fx=ax2+bx+c, compute the…

Q: The discriminant of the quadratic equation 4x+7z-4 0 is O 15

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Q: Reduce the equation 3x +6yz -y -z? -6x+6y-2z -2=0 to the standard form. |

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Q: The quotient rule for square roots states that if a and b are nonnegative and b ≠ 0, then √a/b =…

A: The quotient rule for square roots states that if a and b are nonnegative and b ≠ 0, then

Q: Rearrange this expression into quadratic form, ax² + bx + c = 0, and identify the values of a, b,…

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Q: Find all solutions xa-10X+100 =0 by using the quadratic for muld. x=

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

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Q: Find the quadratic polynomial whose zeroes are i) 3,-4 ii)2,1

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Q: Solve for t,  3t^2-16t+20

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Q: Confirming Homework. See Attached

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Q: To complete the square of x2+5x , add .............

A: To complete the square of x2+5x , addition = ?

Q: Place the following equation into quadratic form. -8 = 2 (x + 9)² O 0 = 2x2 – 36x + 170 O 0 = 2x² +…

A: The given equation is -8=2(x+9)2

Q: Determine the equation in standard form of the quadratic function shown. mx tb 3=-3+3

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Q: Modify the following equation so that it is in quadratic form Determine the values for a, b, and c.

A: In question given question we have to modify the equation in the quadratic form s.t ax2+bx+c=0 and…

Q: Verify that the quadratic form ax2 +bxy +cy?is the same as b a 2 || x | [x y] b y 1/27

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Q: If an answer does not exist, enter DNE.) 2x2 + 3 y%3D 7x2 + 20x - 3

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Q: Find the discriminant of the quadratic equation and give the number and type of solutions of the…

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Q: se the quadratic formula 7x*-3x%3D3

A: Given quadratic equation is, 7x2-3x=3.

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

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

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Q: Rearrange this expression into quadratic form, ax² + bx + c = 0, and identify the values of a, b,…

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Q: Compute the discriminant. Then determine the number and type of solutions for the equation. 7x² -x +…

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Q: x2 - 4ху- 2у2-2 %3D0 4xy to

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Q: Solve the following equation that is quadratic in form. X4-6x2+8=0

A: Use substitution

Q: = Express the following equation in standard form: y · 2(x + 2)² − 6

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Q: Find the nature of the quadratic form 2x2+2y2+2z2+2yz

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Q: Identify a of the following quadratic equation: y = -3x2 + 9x – 6

A: General form of quadratic equation is given by  Y = aX2 + bX + C. a = coefficint of X2. b =…

Q: Find the nature of the quadratic form 2x?+2y?+2z?+2yz.

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Q: Find all positive integer solutions to the equation 3x2 – xy - 2x + y +9= 0.

A: 3x2 – xy - 2x + y +9= 0

Q: ciated with the quadratic form x)²- 2x1x2 + 3x1x3 – X1X3.

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Q: Which equations are quadratic? a) 21 - 5x + 3 = 0 b) * = + 4 c) x = 4 d) - - - 0 e) V2r - 1 = 3 f)…

A: Since you have posted multiple subparts, as per our policy we will answer first three subparts.…

Q: d. 2x² + 3x = 5 e. 6x2 = 5x + 3

A: The zero product property states that if ab=0, then a=0 or b=0 . The square of a sum formula states…

Q: What is/are the value/s of k in the quadratic equation 2x² – 5x – k = 0 whose roots are imaginary?…

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Q: Place the following equation into quadratic form. -6 = -3(x + 10)2 %3D O 0 = -3x2 – 294 O 0 = -3x –…

A: A quadratic equation is a equation of the form  ax2+bx+c=0