How do you solve using the completing the square method $x^2+5/2x=5$ ?

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Answer 1 · 2018-03-03T06:39:14

$color(blue)(x = 1.3117, -3.8117$

$x^2 + (5/2)x = 5$

Add $(5/4)^2$ to both sides

$x^2 + (5/2)x + (5/4)^2 = 5 + (5/4)^2$

$(x + (5/4))^2 = 5 + (25/16) = 105/16 = sqrt((105/16))^2$

$(x + (5/4)) = +-sqrt(105/16)$

$x = +- (sqrt(105/16) - (5/4))$

$x = 1.3117, -3.8117$

How do you solve using the completing the square method x^2+5/2x=5x^2+5/2x=5?