9x2-72=0

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Solution for 9x2-72=0 equation:



9x^2-72=0
a = 9; b = 0; c = -72;
Δ = b2-4ac
Δ = 02-4·9·(-72)
Δ = 2592
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{2592}=\sqrt{1296*2}=\sqrt{1296}*\sqrt{2}=36\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-36\sqrt{2}}{2*9}=\frac{0-36\sqrt{2}}{18} =-\frac{36\sqrt{2}}{18} =-2\sqrt{2} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+36\sqrt{2}}{2*9}=\frac{0+36\sqrt{2}}{18} =\frac{36\sqrt{2}}{18} =2\sqrt{2} $

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