X2-14x-147=0

Solution for X2-14x-147=0 equation:

X2-14X-147=0

We add all the numbers together, and all the variables

X^2-14X-147=0

a = 1; b = -14; c = -147;
Δ = b2-4ac
Δ = -142-4·1·(-147)
Δ = 784
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{784}=28$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-14)-28}{2*1}=\frac{-14}{2}
=-7
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-14)+28}{2*1}=\frac{42}{2}
=21
$