X-9/7x=7

Solution for X-9/7x=7 equation:

X-9/7X=7

We move all terms to the left:

X-9/7X-(7)=0


Domain of the equation: 7X!=0

X!=0/7

X!=0

X∈R


We multiply all the terms by the denominator


X*7X-7*7X-9=0

Wy multiply elements

7X^2-49X-9=0

a = 7; b = -49; c = -9;
Δ = b2-4ac
Δ = -492-4·7·(-9)
Δ = 2653
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-49)-\sqrt{2653}}{2*7}=\frac{49-\sqrt{2653}}{14}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-49)+\sqrt{2653}}{2*7}=\frac{49+\sqrt{2653}}{14}
$