Complete the square with x^2+5/2x=5
I have to complete the square
x²+5/2x=5
x^2 + 5/2x = 5
Add the square of 1/2 the x co-efficient:
((5/2)(1/2))^2 ---- (5/4)^2 ---- 1.5625
x^2 + 5/2x + (5/4)^2 = 5 + 1.5625
Factor the left side.
(x + 5/4)^2 = 6.5625
Take the square root of both sides.
x + 5/4 = 2.56173 and x + 5/4 = -2.56173
x = 2.56173 - 1.25 and x = -2.56173 - 1.25
x = 1.31173 and x = -3.81173