X2-7x+11=0

Solution for X2-7x+11=0 equation:

X2-7X+11=0

We add all the numbers together, and all the variables

X^2-7X+11=0

a = 1; b = -7; c = +11;
Δ = b2-4ac
Δ = -72-4·1·11
Δ = 5
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-7)-\sqrt{5}}{2*1}=\frac{7-\sqrt{5}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+\sqrt{5}}{2*1}=\frac{7+\sqrt{5}}{2}
$