8x^2=1156

Solution for 8x^2=1156 equation:

8x^2=1156

We move all terms to the left:

8x^2-(1156)=0

a = 8; b = 0; c = -1156;
Δ = b2-4ac
Δ = 02-4·8·(-1156)
Δ = 36992
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{36992}=\sqrt{18496*2}=\sqrt{18496}*\sqrt{2}=136\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-136\sqrt{2}}{2*8}=\frac{0-136\sqrt{2}}{16}
=-\frac{136\sqrt{2}}{16}
=-\frac{17\sqrt{2}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+136\sqrt{2}}{2*8}=\frac{0+136\sqrt{2}}{16}
=\frac{136\sqrt{2}}{16}
=\frac{17\sqrt{2}}{2}
$