127-5x^2=-118

Solution for 127-5x^2=-118 equation:

127-5x^2=-118

We move all terms to the left:

127-5x^2-(-118)=0

We add all the numbers together, and all the variables

-5x^2+245=0

a = -5; b = 0; c = +245;
Δ = b2-4ac
Δ = 02-4·(-5)·245
Δ = 4900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4900}=70$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-70}{2*-5}=\frac{-70}{-10}
=+7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+70}{2*-5}=\frac{70}{-10}
=-7
$