x2-9x+3=0

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Solution for x2-9x+3=0 equation:



x2-9x+3=0
We add all the numbers together, and all the variables
x^2-9x+3=0
a = 1; b = -9; c = +3;
Δ = b2-4ac
Δ = -92-4·1·3
Δ = 69
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{-(-9)-\sqrt{69}}{2*1}=\frac{9-\sqrt{69}}{2} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-9)+\sqrt{69}}{2*1}=\frac{9+\sqrt{69}}{2} $

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