x2+5x-9,75=0

Solution for x2+5x-9,75=0 equation:

x2+5x-9.75=0

We add all the numbers together, and all the variables

x^2+5x-9.75=0

a = 1; b = 5; c = -9.75;
Δ = b2-4ac
Δ = 52-4·1·(-9.75)
Δ = 64
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{64}=8$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-8}{2*1}=\frac{-13}{2}
=-6+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+8}{2*1}=\frac{3}{2}
=1+1/2
$