X-70/x=3

Solution for X-70/x=3 equation:

X-70/X=3

We move all terms to the left:

X-70/X-(3)=0


Domain of the equation: X!=0

X∈R


We multiply all the terms by the denominator


X*X-3*X-70=0

We add all the numbers together, and all the variables

-3X+X*X-70=0

Wy multiply elements

X^2-3X-70=0

a = 1; b = -3; c = -70;
Δ = b2-4ac
Δ = -32-4·1·(-70)
Δ = 289
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{289}=17$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-3)-17}{2*1}=\frac{-14}{2}
=-7
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+17}{2*1}=\frac{20}{2}
=10
$