4x^2+15x+17=3x^2

Solution for 4x^2+15x+17=3x^2 equation:

4x^2+15x+17=3x^2

We move all terms to the left:

4x^2+15x+17-(3x^2)=0

determiningTheFunctionDomain
4x^2-3x^2+15x+17=0

We add all the numbers together, and all the variables

x^2+15x+17=0

a = 1; b = 15; c = +17;
Δ = b2-4ac
Δ = 152-4·1·17
Δ = 157
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{-(15)-\sqrt{157}}{2*1}=\frac{-15-\sqrt{157}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(15)+\sqrt{157}}{2*1}=\frac{-15+\sqrt{157}}{2}
$