Solve x2−5x=8 by completing the square. Round your answers to the nearest hundredth.

asked Sep 17, 2022 220k views

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Answer:

$x = (5)/(2) \pm {(√(57))/(2)$

Explanation:

x^2 - 5x = 8

x^2 - 5x + (25)/(4) = 8 + (25)/(4)

(x - (5)/(2))^2 = (57)/(4)

$x - (5)/(2) = \pm \sqrt{(57)/(4)}$

$x = (5)/(2) \pm {(√(57))/(2)$