X2-3x=23

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Solution for X2-3x=23 equation:



X2-3X=23
We move all terms to the left:
X2-3X-(23)=0
We add all the numbers together, and all the variables
X^2-3X-23=0
a = 1; b = -3; c = -23;
Δ = b2-4ac
Δ = -32-4·1·(-23)
Δ = 101
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{-(-3)-\sqrt{101}}{2*1}=\frac{3-\sqrt{101}}{2} $
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+\sqrt{101}}{2*1}=\frac{3+\sqrt{101}}{2} $

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