4x^2-184x-252=0

Solution for 4x^2-184x-252=0 equation:

4x^2-184x-252=0

a = 4; b = -184; c = -252;
Δ = b2-4ac
Δ = -1842-4·4·(-252)
Δ = 37888
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{37888}=\sqrt{1024*37}=\sqrt{1024}*\sqrt{37}=32\sqrt{37}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-184)-32\sqrt{37}}{2*4}=\frac{184-32\sqrt{37}}{8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-184)+32\sqrt{37}}{2*4}=\frac{184+32\sqrt{37}}{8}
$