7x^2-110x+121=0

Solution for 7x^2-110x+121=0 equation:

7x^2-110x+121=0

a = 7; b = -110; c = +121;
Δ = b2-4ac
Δ = -1102-4·7·121
Δ = 8712
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:

$\sqrt{\Delta}=\sqrt{8712}=\sqrt{4356*2}=\sqrt{4356}*\sqrt{2}=66\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-110)-66\sqrt{2}}{2*7}=\frac{110-66\sqrt{2}}{14}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-110)+66\sqrt{2}}{2*7}=\frac{110+66\sqrt{2}}{14}
$