X^2-x+70=2x+104

Solution for X^2-x+70=2x+104 equation:

X^2-X+70=2X+104

We move all terms to the left:

X^2-X+70-(2X+104)=0

We add all the numbers together, and all the variables

X^2-1X-(2X+104)+70=0

We get rid of parentheses

X^2-1X-2X-104+70=0

We add all the numbers together, and all the variables

X^2-3X-34=0

a = 1; b = -3; c = -34;
Δ = b2-4ac
Δ = -32-4·1·(-34)
Δ = 145
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{145}}{2*1}=\frac{3-\sqrt{145}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+\sqrt{145}}{2*1}=\frac{3+\sqrt{145}}{2}
$