2x^2-15=1443

Solution for 2x^2-15=1443 equation:

2x^2-15=1443

We move all terms to the left:

2x^2-15-(1443)=0

We add all the numbers together, and all the variables

2x^2-1458=0

a = 2; b = 0; c = -1458;
Δ = b2-4ac
Δ = 02-4·2·(-1458)
Δ = 11664
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{11664}=108$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-108}{2*2}=\frac{-108}{4}
=-27
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+108}{2*2}=\frac{108}{4}
=27
$