-2x^2+70=0

Solution for -2x^2+70=0 equation:

-2x^2+70=0

a = -2; b = 0; c = +70;
Δ = b2-4ac
Δ = 02-4·(-2)·70
Δ = 560
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:

$\sqrt{\Delta}=\sqrt{560}=\sqrt{16*35}=\sqrt{16}*\sqrt{35}=4\sqrt{35}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{35}}{2*-2}=\frac{0-4\sqrt{35}}{-4}
=-\frac{4\sqrt{35}}{-4}
=-\frac{\sqrt{35}}{-1}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{35}}{2*-2}=\frac{0+4\sqrt{35}}{-4}
=\frac{4\sqrt{35}}{-4}
=\frac{\sqrt{35}}{-1}
$