Solve x2 - 8x = 20 by completing the square. which is the solution set of the equation? a. {-22, 14} b. {-14, 22} c. {-10, 2} d. {-2, 10}

Question

Charlee Thornton

Mathematics

1 March, 19:08

Solve x2 - 8x = 20 by completing the square. which is the solution set of the equation? a. {-22, 14} b. {-14, 22} c. {-10, 2} d. {-2, 10}

+4

Answers (1)

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Caleb Raymond · Answer 1

X^2-8x=20

take 1/2 of - 8 and square it ((-4) ^2=16

add it to both sides

x^2-8x+16=16+20

x^2-8x+16=36

factor perfect square

(x-4) ^2=36

squre root both side

remember to take positive and negative roots

x-4=+/-6

add 4 to both sides

x=4+/-6

x=10 or - 2

D is answer