.5x^2=55

Solution for .5x^2=55 equation:

.5x^2=55

We move all terms to the left:

.5x^2-(55)=0

a = .5; b = 0; c = -55;
Δ = b2-4ac
Δ = 02-4·.5·(-55)
Δ = 110
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{110}}{2*.5}=\frac{0-\sqrt{110}}{1}
=-\frac{\sqrt{}}{1}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{110}}{2*.5}=\frac{0+\sqrt{110}}{1}
=\frac{\sqrt{}}{1}
$