Question

Complete the square to solve the equation. x^2+x=7/4

Answer 1

divide the number multiplying x (here it is 1) by 2:
(x + 1/2)^2
expanding this gives a last term of 1/4 so to get back to x^2+x we need to subtract 1/4
so (x + 1)^2 -1/4 = 7/4
(x + 1)^2 = 2
x+1 = sqrt2 or -sqrt1
x = sqrt2 - 1 , -sqrt2 - 1

Answer 2

these work out to 0.4142 , -2.4142

Answer 3

Okay thanks again!

Answer 4

the aim is to get a perfect square on left side and then take square roots of both sides

Answer 5

yw