7x^2-63=8029

Solution for 7x^2-63=8029 equation:

7x^2-63=8029

We move all terms to the left:

7x^2-63-(8029)=0

We add all the numbers together, and all the variables

7x^2-8092=0

a = 7; b = 0; c = -8092;
Δ = b2-4ac
Δ = 02-4·7·(-8092)
Δ = 226576
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{226576}=476$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-476}{2*7}=\frac{-476}{14}
=-34
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+476}{2*7}=\frac{476}{14}
=34
$