3x+x^2=35

Solution for 3x+x^2=35 equation:

3x+x^2=35

We move all terms to the left:

3x+x^2-(35)=0

a = 1; b = 3; c = -35;
Δ = b2-4ac
Δ = 32-4·1·(-35)
Δ = 149
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{149}}{2*1}=\frac{-3-\sqrt{149}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+\sqrt{149}}{2*1}=\frac{-3+\sqrt{149}}{2}
$