5.5x^2=352

Solution for 5.5x^2=352 equation:

5.5x^2=352

We move all terms to the left:

5.5x^2-(352)=0

a = 5.5; b = 0; c = -352;
Δ = b2-4ac
Δ = 02-4·5.5·(-352)
Δ = 7744
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{7744}=88$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-88}{2*5.5}=\frac{-88}{11}
=-8
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+88}{2*5.5}=\frac{88}{11}
=8
$