X^2+7x-128000=0

Solution for X^2+7x-128000=0 equation:

X^2+7X-128000=0

a = 1; b = 7; c = -128000;
Δ = b2-4ac
Δ = 72-4·1·(-128000)
Δ = 512049
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{512049}}{2*1}=\frac{-7-\sqrt{512049}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+\sqrt{512049}}{2*1}=\frac{-7+\sqrt{512049}}{2}
$