9x^2-275-49=0

Solution for 9x^2-275-49=0 equation:

9x^2-275-49=0

We add all the numbers together, and all the variables

9x^2-324=0

a = 9; b = 0; c = -324;
Δ = b2-4ac
Δ = 02-4·9·(-324)
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*9}=\frac{-108}{18}
=-6
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+108}{2*9}=\frac{108}{18}
=6
$