6x^2+10=1024

Solution for 6x^2+10=1024 equation:

6x^2+10=1024

We move all terms to the left:

6x^2+10-(1024)=0

We add all the numbers together, and all the variables

6x^2-1014=0

a = 6; b = 0; c = -1014;
Δ = b2-4ac
Δ = 02-4·6·(-1014)
Δ = 24336
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{24336}=156$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-156}{2*6}=\frac{-156}{12}
=-13
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+156}{2*6}=\frac{156}{12}
=13
$