x2+10x+12.75=0

Solution for x2+10x+12.75=0 equation:

x2+10x+12.75=0

We add all the numbers together, and all the variables

x^2+10x+12.75=0

a = 1; b = 10; c = +12.75;
Δ = b2-4ac
Δ = 102-4·1·12.75
Δ = 49
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{49}=7$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(10)-7}{2*1}=\frac{-17}{2}
=-8+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(10)+7}{2*1}=\frac{-3}{2}
=-1+1/2
$