(7/6)y=91

Solution for (7/6)y=91 equation:

(7/6)y=91

We move all terms to the left:

(7/6)y-(91)=0


Domain of the equation: 6)y!=0

y!=0/1

y!=0

y∈R


We add all the numbers together, and all the variables

(+7/6)y-91=0

We multiply parentheses

7y^2-91=0

a = 7; b = 0; c = -91;
Δ = b2-4ac
Δ = 02-4·7·(-91)
Δ = 2548
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{2548}=\sqrt{196*13}=\sqrt{196}*\sqrt{13}=14\sqrt{13}$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-14\sqrt{13}}{2*7}=\frac{0-14\sqrt{13}}{14}
=-\frac{14\sqrt{13}}{14}
=-\sqrt{13}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+14\sqrt{13}}{2*7}=\frac{0+14\sqrt{13}}{14}
=\frac{14\sqrt{13}}{14}
=\sqrt{13}
$