4x^2-126x+902=0

Solution for 4x^2-126x+902=0 equation:

4x^2-126x+902=0

a = 4; b = -126; c = +902;
Δ = b2-4ac
Δ = -1262-4·4·902
Δ = 1444
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1444}=38$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-126)-38}{2*4}=\frac{88}{8}
=11
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-126)+38}{2*4}=\frac{164}{8}
=20+1/2
$