5x^2-30x-707=0

Solution for 5x^2-30x-707=0 equation:

5x^2-30x-707=0

a = 5; b = -30; c = -707;
Δ = b2-4ac
Δ = -302-4·5·(-707)
Δ = 15040
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:

$\sqrt{\Delta}=\sqrt{15040}=\sqrt{64*235}=\sqrt{64}*\sqrt{235}=8\sqrt{235}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-30)-8\sqrt{235}}{2*5}=\frac{30-8\sqrt{235}}{10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-30)+8\sqrt{235}}{2*5}=\frac{30+8\sqrt{235}}{10}
$