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