12x^2-176x+484=0

Solution for 12x^2-176x+484=0 equation:

12x^2-176x+484=0

a = 12; b = -176; c = +484;
Δ = b2-4ac
Δ = -1762-4·12·484
Δ = 7744
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{7744}=88$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-176)-88}{2*12}=\frac{88}{24}
=3+2/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-176)+88}{2*12}=\frac{264}{24}
=11
$