x^2+151x+3000=0

Solution for x^2+151x+3000=0 equation:

x^2+151x+3000=0

a = 1; b = 151; c = +3000;
Δ = b2-4ac
Δ = 1512-4·1·3000
Δ = 10801
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{-(151)-\sqrt{10801}}{2*1}=\frac{-151-\sqrt{10801}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(151)+\sqrt{10801}}{2*1}=\frac{-151+\sqrt{10801}}{2}
$