X^2+17x+49=34

Solution for X^2+17x+49=34 equation:

X^2+17X+49=34

We move all terms to the left:

X^2+17X+49-(34)=0

We add all the numbers together, and all the variables

X^2+17X+15=0

a = 1; b = 17; c = +15;
Δ = b2-4ac
Δ = 172-4·1·15
Δ = 229
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{-(17)-\sqrt{229}}{2*1}=\frac{-17-\sqrt{229}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(17)+\sqrt{229}}{2*1}=\frac{-17+\sqrt{229}}{2}
$