x^2-29x+154=0

Solution for x^2-29x+154=0 equation:

x^2-29x+154=0

a = 1; b = -29; c = +154;
Δ = b2-4ac
Δ = -292-4·1·154
Δ = 225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{225}=15$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-29)-15}{2*1}=\frac{14}{2}
=7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-29)+15}{2*1}=\frac{44}{2}
=22
$