x^2-35=3x

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

x^2-35=3x

We move all terms to the left:

x^2-35-(3x)=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}
$