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2x-720/x-4=0

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Solution for 2x-720/x-4=0 equation: 



2x-720/x-4=0



Domain of the equation: x!=0

x∈R



We multiply all the terms by the denominator


2x*x-4*x-720=0

We add all the numbers together, and all the variables

-4x+2x*x-720=0

Wy multiply elements

2x^2-4x-720=0

a = 2; b = -4; c = -720;
Δ = b2-4ac
Δ = -42-4·2·(-720)
Δ = 5776
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{5776}=76


x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-4)-76}{2*2}=\frac{-72}{4}
=-18



x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4)+76}{2*2}=\frac{80}{4}
=20

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