x^2-10x-151=0

Solution for x^2-10x-151=0 equation:

x^2-10x-151=0

a = 1; b = -10; c = -151;
Δ = b2-4ac
Δ = -102-4·1·(-151)
Δ = 704
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:

$\sqrt{\Delta}=\sqrt{704}=\sqrt{64*11}=\sqrt{64}*\sqrt{11}=8\sqrt{11}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-10)-8\sqrt{11}}{2*1}=\frac{10-8\sqrt{11}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-10)+8\sqrt{11}}{2*1}=\frac{10+8\sqrt{11}}{2}
$