X2=-11x+4

Solution for X2=-11x+4 equation:

X2=-11X+4

We move all terms to the left:

X2-(-11X+4)=0

We add all the numbers together, and all the variables

X^2-(-11X+4)=0

We get rid of parentheses

X^2+11X-4=0

a = 1; b = 11; c = -4;
Δ = b2-4ac
Δ = 112-4·1·(-4)
Δ = 137
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{-(11)-\sqrt{137}}{2*1}=\frac{-11-\sqrt{137}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(11)+\sqrt{137}}{2*1}=\frac{-11+\sqrt{137}}{2}
$