X^2+2x=5.25

Solution for X^2+2x=5.25 equation:

X^2+2X=5.25

We move all terms to the left:

X^2+2X-(5.25)=0

We add all the numbers together, and all the variables

X^2+2X-5.25=0

a = 1; b = 2; c = -5.25;
Δ = b2-4ac
Δ = 22-4·1·(-5.25)
Δ = 25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25}=5$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-5}{2*1}=\frac{-7}{2}
=-3+1/2
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+5}{2*1}=\frac{3}{2}
=1+1/2
$