7x^2/18x-9=0

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Solution for 7x^2/18x-9=0 equation: 



7x^2/18x-9=0



Domain of the equation: 18x!=0

x!=0/18

x!=0

x∈R



We multiply all the terms by the denominator


7x^2-9*18x=0

Wy multiply elements

7x^2-162x=0

a = 7; b = -162; c = 0;
Δ = b2-4ac
Δ = -1622-4·7·0
Δ = 26244
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{26244}=162$


$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-162)-162}{2*7}=\frac{0}{14}
=0
$


$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-162)+162}{2*7}=\frac{324}{14}
=23+1/7
$

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