X2=15x-34

Solution for X2=15x-34 equation:

X2=15X-34

We move all terms to the left:

X2-(15X-34)=0

We add all the numbers together, and all the variables

X^2-(15X-34)=0

We get rid of parentheses

X^2-15X+34=0

a = 1; b = -15; c = +34;
Δ = b2-4ac
Δ = -152-4·1·34
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{-(-15)-\sqrt{89}}{2*1}=\frac{15-\sqrt{89}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-15)+\sqrt{89}}{2*1}=\frac{15+\sqrt{89}}{2}
$