X2+5x-27=0

Solution for X2+5x-27=0 equation:

X2+5X-27=0

We add all the numbers together, and all the variables

X^2+5X-27=0

a = 1; b = 5; c = -27;
Δ = b2-4ac
Δ = 52-4·1·(-27)
Δ = 133
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-\sqrt{133}}{2*1}=\frac{-5-\sqrt{133}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+\sqrt{133}}{2*1}=\frac{-5+\sqrt{133}}{2}
$