2x^2+10x-297=0

Solution for 2x^2+10x-297=0 equation:

2x^2+10x-297=0

a = 2; b = 10; c = -297;
Δ = b2-4ac
Δ = 102-4·2·(-297)
Δ = 2476
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:

$\sqrt{\Delta}=\sqrt{2476}=\sqrt{4*619}=\sqrt{4}*\sqrt{619}=2\sqrt{619}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(10)-2\sqrt{619}}{2*2}=\frac{-10-2\sqrt{619}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(10)+2\sqrt{619}}{2*2}=\frac{-10+2\sqrt{619}}{4}
$