X^2+200x=6,900

Solution for X^2+200x=6,900 equation:

X^2+200X=6.900

We move all terms to the left:

X^2+200X-(6.900)=0

We add all the numbers together, and all the variables

X^2+200X-(6.9)=0

We add all the numbers together, and all the variables

X^2+200X-6.9=0

a = 1; b = 200; c = -6.9;
Δ = b2-4ac
Δ = 2002-4·1·(-6.9)
Δ = 40027.6
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{-(200)-\sqrt{40027.6}}{2*1}=\frac{-200-\sqrt{40027.6}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(200)+\sqrt{40027.6}}{2*1}=\frac{-200+\sqrt{40027.6}}{2}
$