Determine the roots of the following quadratic equation, leaving the answer in exact roots. Use the appropriate method. -3(x + 2)2 + 24 = 0

Q: Solve the following quadratic equation by using the quadratic formula. If necessary, round to the…

A: The given quadratic equation is: x2+10x+22=0 Comparing it with ax2+bx+c=0, a=1, b=10, c=22

Q: Determine the roots of the following equation via Successive substitution 3x3 − 4x2 + x − 3 = 0

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Q: Solve the following 3 quadratic equations using the quadratic formula: -b±yb²-4ac 2а a) 4x² + 12x +…

A: a)  4x2+12x+9=0    a=4 , b=12 , c=9   x=-12±(12)2-4(4)(9)2(4)    =-12±144-1448   =-12±08…

Q: Solve the given quadratic equation 2x +x +1 = 0 By quadratic formula

A: Solution : The objective is to solve the given quadratic equation

Q: Use the quadratic formula to find the roots following quadratic: y = x² + 4x +5

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Q: Find the roots of each of the following quadratic equations. 1. 4x^2 + 12x - 16 = 0 2. 2x^2 + 17x +…

A: We need to find roots.

Q: Find the roots for the quadratic equation x + 6x +9 = 0 A 4 B. 1 F 3 -3 D. -2 H. -1

A: The correct option is G.

Q: Solve the following quadratic equation: 22 - 9x +18 = 0

A: Given,          x2-9x+18=0

Q: Determine the nature of the roots of the following equations: (a) 3x + 5x + 4 = 0 (c) x-8x + 16 = 0…

A: Since you have asked multiple subparts, we will solve the first three question for you. . If you…

Q: If the roots of the equation a(b - c)x² +b(c - a)x + c (a - b)=0 2 _ 1 ,1. are equal, show that а с

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Q: Find the quadratic equation if one of the roots is 8 - 3i. a. x² - 16x + 73 = 0 b. x? • 16x • 73 = 0…

A: The quadratic function has the root 8-3i Note: Multiple questions are given, we are answered with…

Q: It is given that a and B are the roots of the quadratic equation 2x+4x- 3 = 0. Form a quadratic…

A: If α and β are the roots of the quadratic equation ax2+bx+c=0, then α+β=-baαβ=ca Consider the…

Q: Determine the roots of the following equation via Successive substitution 3x3 – 4x2 + x - 3 = 0

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Q: Find the  roots of the following equation x^2-2x=10

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Q: Find the solutions to the following quadratic equation. -322 + 4x +2 = 0 Select the correct answer…

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Q: Find all integer roots of the following equation: x4 – 2x3 – 21x? + 22x + 40 = 0. - -

A: The given equation is x4-2x3-21x2+22x+40=0.

Q: Write a quadratic equation in the form x² + bx +c=0 that has the following roots: Roots: 6 + 8i

A: x2+bx+c=0 Now, the general quadratic equation is of the form- x2-sum of rootsx+product of roots=0…

Q: Find the discriminant of the following quadratic equation, and state the number of real roots that…

A: Discriminant The discriminant of the quadratic equation ax2+bx+c=0 is…

Q: 20x +3x = 20–15x

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Q: Find the roots of the given equation 2x2+3x+2=0

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Q: Answer this for me mate. Much appreciated.

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Q: Complete the square and use the result to derive the quadratic formula for the roots of ax2 + bx + c…

A: Given equation is ax2+bx+c=0. To complete the square and derive the quadratic formula. Solution:…

Q: Determine the nature of the roots of each quadratic equation using only the discriminant (DO NOT…

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Q: Solve the following quadratic equation by using the quadratic formula. If necessary, round to the…

A: Given equation is 2x2-6x-8=0We know the quadratic formula for ax2+bx+c=0 is -b±b2-4ac2a

Q: Find the solutions of the following quadratic equation. x2 – 19x + 90 = 0 -

A: Given a quadratic equation x2-19x+90=0 To solve the equation

Q: Rind the roots of each quadratic equation using any method. Roots 4. 2x2-6 = 4x 5. x2 - 2x - 8 = 0

A: We have to find the roots of the given quadratic equations.

Q: Find the quadratic equation given two roots using x^2 - (r + s)x + (r ⋅ s) = 0 1. 3 and 7 2. 4 and…

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Q: Write a quadratic equation in the form a² + bx +c=0 that has the following roots: Roots: – 10 ±6i -…

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Q: Solve the following quadratic equations using any method.

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Q: Find the solution sets, discriminant, quadratic equation and describe roots of the following…

A: a) xx-5+3x+2=7xx2-3x-10b) 3xx2-4-2x+2=1x+2

Q: Find the roots, if any, of each of the following quadratic equations by the quadratic formula. 1.…

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Q: Determine the other root of the given equation x² – 4x – 7 = 0

A: Given  : x2-4x-7=0   To Find : roots of the given equation   Note:If ax2+bx+c=0 is the given…

Q: Find the roots of the given Quadratic Equations. 1. x^2 = 10 2. x^2 = 25

A: Given:  1)x2=102)x2=25 To find: The roots of the given Quadratic Equations.

Q: Which of the following quadratic equation has the solutions below: Zeros = 7 or 1

A: a2-8a+7=0a2-7a-a+7=0a(a-7)-1(a-7)=0(a-1)(a-7)=0a=1, 7

Q: 9.) 9x² + 49 =D0 b.) 2x²-64=0 c) x²-16=0

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Q: a. Roots at x = 3 and x = -1

A: SOLUTION-

Q: Solve the following quadratic equation by using the quadratic formula. If necessary, round to the…

A: 2x2 - 6x -8 =0 2(x2 -3x -4 )=0 x2 -3x -4 =0 x2 -4x +x -4 = 0 x(x-4) +1(x-4) = 0 (x+1)(x-4) =0 x = -1…

Q: For each of the following quadratic equations, determine the number and the nature of the roots by…

A: If quadratic equation is ax2+bx+c then quadratic discriminant is b2-4ac If b2-4ac =0 then quadratic…

Q: Solve the following quadratic equation by completing the square. If necessary, round to the nearest…

A: We have to solve the quadratic equation by completing the square.…

Q: Solve the following quadratic equations by extracting square roots. 1 a-81 0 2. 4m 100 3. r-2 14…

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Q: Write a quadratic equation in the form x? + bx +c = 0 that has the following roots: Roots: – 10±V15…

A: Answer is mentioned below

Q: Find the solution sets, discriminant, quadratic equation and describe roots of the following…

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Q: Write a quadratic equation in the form x2 + b +c= 0 that has the following roots: Roots: - 10 ± 4i…

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Q: Find the solution sets, discriminant, quadratic equation and describe roots of the following…

A: Here we have to find out the solutions at a discriminant of quadratic equation and describe the…

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

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Q: Find ALL the roots of the equation. 1 y = x° + 6x2 + x + 6

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

Q: Which of the following quadratic equations has real roots? A. x2 +x +1 = 0 B. 2x2 + 5x + 3 = 0 C.…

A: For real roots discriminant should be greater than Or equal to Zero.  That is, b2 - 4ac>= 0

Q: Find the solution sets, discriminant, quadratic equation and describe roots of the following…

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