Which statement about the following equation is true ? 2x^2-9x+2=-1

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04-02-2018
Mathematics

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Which statement about the following equation is true ? 2x^2-9x+2=-1

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zrh2sfo zrh2sfo · Answer 1 · 2018-02-04T19:23:35+01:00

Solve for x:
2 x^2 - 9 x + 2 = -1
Divide both sides by 2:
x^2 - (9 x)/2 + 1 = -1/2

Subtract 1 from both sides:
x^2 - (9 x)/2 = -3/2

Add 81/16 to both sides:
x^2 - (9 x)/2 + 81/16 = 57/16

Write the left hand side as a square:
(x - 9/4)^2 = 57/16

Take the square root of both sides:
x - 9/4 = sqrt(57)/4 or x - 9/4 = -sqrt(57)/4

Add 9/4 to both sides:
x = 9/4 + sqrt(57)/4 or x - 9/4 = -sqrt(57)/4

Add 9/4 to both sides:
Answer: x = 9/4 + sqrt(57)/4 or x = 9/4 - sqrt(57)/4