7x/x^2=49

Solution for 7x/x^2=49 equation:

7x/x^2=49

We move all terms to the left:

7x/x^2-(49)=0


Domain of the equation: x^2!=0

x^2!=0/

x^2!=√0

x!=0

x∈R


We multiply all the terms by the denominator


7x-49*x^2=0

We add all the numbers together, and all the variables

-49x^2+7x=0

a = -49; b = 7; c = 0;
Δ = b2-4ac
Δ = 72-4·(-49)·0
Δ = 49
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{49}=7$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(7)-7}{2*-49}=\frac{-14}{-98}
=1/7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+7}{2*-49}=\frac{0}{-98}
=0
$