3x+5=4x2

Solution for 3x+5=4x2 equation:

3x+5=4x^2

We move all terms to the left:

3x+5-(4x^2)=0

determiningTheFunctionDomain
-4x^2+3x+5=0

a = -4; b = 3; c = +5;
Δ = b2-4ac
Δ = 32-4·(-4)·5
Δ = 89
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{-(3)-\sqrt{89}}{2*-4}=\frac{-3-\sqrt{89}}{-8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+\sqrt{89}}{2*-4}=\frac{-3+\sqrt{89}}{-8}
$