7,5x+x^2=48

Solution for 7,5x+x^2=48 equation:

7.5x+x^2=48

We move all terms to the left:

7.5x+x^2-(48)=0

a = 1; b = 7.5; c = -48;
Δ = b2-4ac
Δ = 7.52-4·1·(-48)
Δ = 248.25
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{-(7.5)-\sqrt{248.25}}{2*1}=\frac{-7.5-\sqrt{248.25}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7.5)+\sqrt{248.25}}{2*1}=\frac{-7.5+\sqrt{248.25}}{2}
$