X2+2x=49

Solution for X2+2x=49 equation:

X2+2X=49

We move all terms to the left:

X2+2X-(49)=0

We add all the numbers together, and all the variables

X^2+2X-49=0

a = 1; b = 2; c = -49;
Δ = b2-4ac
Δ = 22-4·1·(-49)
Δ = 200
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{200}=\sqrt{100*2}=\sqrt{100}*\sqrt{2}=10\sqrt{2}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-10\sqrt{2}}{2*1}=\frac{-2-10\sqrt{2}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+10\sqrt{2}}{2*1}=\frac{-2+10\sqrt{2}}{2}
$