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X-4/10X=72
We move all terms to the left:
X-4/10X-(72)=0
Domain of the equation: 10X!=0We multiply all the terms by the denominator
X!=0/10
X!=0
X∈R
X*10X-72*10X-4=0
Wy multiply elements
10X^2-720X-4=0
a = 10; b = -720; c = -4;
Δ = b2-4ac
Δ = -7202-4·10·(-4)
Δ = 518560
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}$$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{518560}=\sqrt{16*32410}=\sqrt{16}*\sqrt{32410}=4\sqrt{32410}$$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-720)-4\sqrt{32410}}{2*10}=\frac{720-4\sqrt{32410}}{20} $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-720)+4\sqrt{32410}}{2*10}=\frac{720+4\sqrt{32410}}{20} $
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