7x+8=11x2

Solution for 7x+8=11x2 equation:

7x+8=11x^2

We move all terms to the left:

7x+8-(11x^2)=0

determiningTheFunctionDomain
-11x^2+7x+8=0

a = -11; b = 7; c = +8;
Δ = b2-4ac
Δ = 72-4·(-11)·8
Δ = 401
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{401}}{2*-11}=\frac{-7-\sqrt{401}}{-22}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+\sqrt{401}}{2*-11}=\frac{-7+\sqrt{401}}{-22}
$