9.734+x^2=24.01

Solution for 9.734+x^2=24.01 equation:

9.734+x^2=24.01

We move all terms to the left:

9.734+x^2-(24.01)=0

We add all the numbers together, and all the variables

x^2-14.276=0

a = 1; b = 0; c = -14.276;
Δ = b2-4ac
Δ = 02-4·1·(-14.276)
Δ = 57.104
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{57.104}}{2*1}=\frac{0-\sqrt{57.104}}{2}
=-\frac{\sqrt{}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{57.104}}{2*1}=\frac{0+\sqrt{57.104}}{2}
=\frac{\sqrt{}}{2}
$