11x^2-15=1393

Solution for 11x^2-15=1393 equation:

11x^2-15=1393

We move all terms to the left:

11x^2-15-(1393)=0

We add all the numbers together, and all the variables

11x^2-1408=0

a = 11; b = 0; c = -1408;
Δ = b2-4ac
Δ = 02-4·11·(-1408)
Δ = 61952
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{61952}=\sqrt{30976*2}=\sqrt{30976}*\sqrt{2}=176\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-176\sqrt{2}}{2*11}=\frac{0-176\sqrt{2}}{22}
=-\frac{176\sqrt{2}}{22}
=-8\sqrt{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+176\sqrt{2}}{2*11}=\frac{0+176\sqrt{2}}{22}
=\frac{176\sqrt{2}}{22}
=8\sqrt{2}
$