X2-133x=667

Solution for X2-133x=667 equation:

X2-133X=667

We move all terms to the left:

X2-133X-(667)=0

We add all the numbers together, and all the variables

X^2-133X-667=0

a = 1; b = -133; c = -667;
Δ = b2-4ac
Δ = -1332-4·1·(-667)
Δ = 20357
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{-(-133)-\sqrt{20357}}{2*1}=\frac{133-\sqrt{20357}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-133)+\sqrt{20357}}{2*1}=\frac{133+\sqrt{20357}}{2}
$