X2+7x=68.75

Solution for X2+7x=68.75 equation:

X2+7X=68.75

We move all terms to the left:

X2+7X-(68.75)=0

We add all the numbers together, and all the variables

X^2+7X-68.75=0

a = 1; b = 7; c = -68.75;
Δ = b2-4ac
Δ = 72-4·1·(-68.75)
Δ = 324
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{324}=18$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(7)-18}{2*1}=\frac{-25}{2}
=-12+1/2
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+18}{2*1}=\frac{11}{2}
=5+1/2
$