11x^2-154x+143=0

Solution for 11x^2-154x+143=0 equation:

11x^2-154x+143=0

a = 11; b = -154; c = +143;
Δ = b2-4ac
Δ = -1542-4·11·143
Δ = 17424
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{17424}=132$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-154)-132}{2*11}=\frac{22}{22}
=1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-154)+132}{2*11}=\frac{286}{22}
=13
$