x^2+0.75^2=25

Solution for x^2+0.75^2=25 equation:

x^2+0.75^2=25

We move all terms to the left:

x^2+0.75^2-(25)=0

determiningTheFunctionDomain
x^2-25+0.75^2=0

We add all the numbers together, and all the variables

x^2-24.4375=0

a = 1; b = 0; c = -24.4375;
Δ = b2-4ac
Δ = 02-4·1·(-24.4375)
Δ = 97.75
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{97.75}}{2*1}=\frac{0-\sqrt{97.75}}{2}
=-\frac{\sqrt{}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{97.75}}{2*1}=\frac{0+\sqrt{97.75}}{2}
=\frac{\sqrt{}}{2}
$