x^2-350x-70=0

Solution for x^2-350x-70=0 equation:

x^2-350x-70=0

a = 1; b = -350; c = -70;
Δ = b2-4ac
Δ = -3502-4·1·(-70)
Δ = 122780
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:

$\sqrt{\Delta}=\sqrt{122780}=\sqrt{4*30695}=\sqrt{4}*\sqrt{30695}=2\sqrt{30695}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-350)-2\sqrt{30695}}{2*1}=\frac{350-2\sqrt{30695}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-350)+2\sqrt{30695}}{2*1}=\frac{350+2\sqrt{30695}}{2}
$