8x^2-35=0

Solution for 8x^2-35=0 equation:

8x^2-35=0

a = 8; b = 0; c = -35;
Δ = b2-4ac
Δ = 02-4·8·(-35)
Δ = 1120
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:

$\sqrt{\Delta}=\sqrt{1120}=\sqrt{16*70}=\sqrt{16}*\sqrt{70}=4\sqrt{70}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{70}}{2*8}=\frac{0-4\sqrt{70}}{16}
=-\frac{4\sqrt{70}}{16}
=-\frac{\sqrt{70}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{70}}{2*8}=\frac{0+4\sqrt{70}}{16}
=\frac{4\sqrt{70}}{16}
=\frac{\sqrt{70}}{4}
$