11x^2-7=37

Solution for 11x^2-7=37 equation:

11x^2-7=37

We move all terms to the left:

11x^2-7-(37)=0

We add all the numbers together, and all the variables

11x^2-44=0

a = 11; b = 0; c = -44;
Δ = b2-4ac
Δ = 02-4·11·(-44)
Δ = 1936
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1936}=44$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-44}{2*11}=\frac{-44}{22}
=-2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+44}{2*11}=\frac{44}{22}
=2
$