Question

Solve 2x2 − 8x = −7. (2 points)


A. negative 2 plus or minus square root of 2

B. negative 2 plus or minus 2 square root of 2

C. quantity of 2 plus or minus square root of 2 all over 2

D. 2 plus or minus square root of 2 end root over 2

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Answer 1

Answer:

D. 2 plus or minus square root of 2 end root over 2

Step-by-step explanation:

Given equation,

$2x^2 - 8x = -7$

$\implies 2x^2 - 8x + 7=0$

By the quadratic formula,

$x=\frac{-(-8)\pm \sqrt{(-8)^2 -4\times 2\times 7}}{2\times 2}$

$x=\frac{8\pm \sqrt{64 - 56}}{4}$

$x=\frac{8\pm \sqrt{8}}{4}$

$x=\frac{8\pm 2\sqrt{2}}{4}$

$x=2\pm \frac{\sqrt{2}}{2}$

= 2 plus or minus square root of 2 end root over 2

OPTION D Is correct.