x^2-10-24.75=0

Solution for x^2-10-24.75=0 equation:

x^2-10-24.75=0

We add all the numbers together, and all the variables

x^2-34.75=0

a = 1; b = 0; c = -34.75;
Δ = b2-4ac
Δ = 02-4·1·(-34.75)
Δ = 139
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{-(0)-\sqrt{139}}{2*1}=\frac{0-\sqrt{139}}{2}
=-\frac{\sqrt{}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{139}}{2*1}=\frac{0+\sqrt{139}}{2}
=\frac{\sqrt{}}{2}
$