X=y2+24y+70

Solution for X=y2+24y+70 equation:

X=X2+24X+70

We move all terms to the left:

X-(X2+24X+70)=0

We add all the numbers together, and all the variables

-(+X^2+24X+70)+X=0

We get rid of parentheses

-X^2-24X+X-70=0

We add all the numbers together, and all the variables

-1X^2-23X-70=0

a = -1; b = -23; c = -70;
Δ = b2-4ac
Δ = -232-4·(-1)·(-70)
Δ = 249
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{-(-23)-\sqrt{249}}{2*-1}=\frac{23-\sqrt{249}}{-2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-23)+\sqrt{249}}{2*-1}=\frac{23+\sqrt{249}}{-2}
$