-7x+12=4x2

Solution for -7x+12=4x2 equation:

-7x+12=4x^2

We move all terms to the left:

-7x+12-(4x^2)=0

determiningTheFunctionDomain
-4x^2-7x+12=0

a = -4; b = -7; c = +12;
Δ = b2-4ac
Δ = -72-4·(-4)·12
Δ = 241
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{241}}{2*-4}=\frac{7-\sqrt{241}}{-8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+\sqrt{241}}{2*-4}=\frac{7+\sqrt{241}}{-8}
$