x^2-1.75x+3.0625=3.5625

Solution for x^2-1.75x+3.0625=3.5625 equation:

x^2-1.75x+3.0625=3.5625

We move all terms to the left:

x^2-1.75x+3.0625-(3.5625)=0

We add all the numbers together, and all the variables

x^2-1.75x-0.5=0

a = 1; b = -1.75; c = -0.5;
Δ = b2-4ac
Δ = -1.752-4·1·(-0.5)
Δ = 5.0625
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{-(-1.75)-\sqrt{5.0625}}{2*1}=\frac{1.75-\sqrt{5.0625}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1.75)+\sqrt{5.0625}}{2*1}=\frac{1.75+\sqrt{5.0625}}{2}
$