# How do you solve using the completing the square method x^2+1.4x=1.2?

May 8, 2016

The constant is already on the right hand side. Add a missing term to each side to create the square of a binomial on the left.
$x = 0.6 , x = - 2$

#### Explanation:

[add ${\left(\frac{b}{2}\right)}^{2}$ to both sides]

#x2 + 1.4x + (1.4/2)^2 = 1.2 + (1.4/2)^2

${\left(x + 0.7\right)}^{2} = 1.69$ $\text{ sqrt both sides}$

$x + 0.7 = \pm 1.3$

$x = + 1.3 - 0.7 \mathmr{and} x = - 1.3 - 0.7$

$x = 0.6 , x = - 2$