X(x+7)=1127.50

Solution for X(x+7)=1127.50 equation:

X(X+7)=1127.50

We move all terms to the left:

X(X+7)-(1127.50)=0

We add all the numbers together, and all the variables

X(X+7)-(1127.5)=0

We add all the numbers together, and all the variables

X(X+7)-1127.5=0

We multiply parentheses

X^2+7X-1127.5=0

a = 1; b = 7; c = -1127.5;
Δ = b2-4ac
Δ = 72-4·1·(-1127.5)
Δ = 4559
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{-(7)-\sqrt{4559}}{2*1}=\frac{-7-\sqrt{4559}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+\sqrt{4559}}{2*1}=\frac{-7+\sqrt{4559}}{2}
$