(-4x^2+361)=0

Solution for (-4x^2+361)=0 equation:

(-4x^2+361)=0

We get rid of parentheses

-4x^2+361=0

a = -4; b = 0; c = +361;
Δ = b2-4ac
Δ = 02-4·(-4)·361
Δ = 5776
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5776}=76$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-76}{2*-4}=\frac{-76}{-8}
=9+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+76}{2*-4}=\frac{76}{-8}
=-9+1/2
$