X-9x^2+1=0

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Solution for X-9x^2+1=0 equation:



X-9X^2+1=0
a = -9; b = 1; c = +1;
Δ = b2-4ac
Δ = 12-4·(-9)·1
Δ = 37
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)-\sqrt{37}}{2*-9}=\frac{-1-\sqrt{37}}{-18} $
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{37}}{2*-9}=\frac{-1+\sqrt{37}}{-18} $

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