(21/26)y=7

Solution for (21/26)y=7 equation:

(21/26)y=7

We move all terms to the left:

(21/26)y-(7)=0


Domain of the equation: 26)y!=0

y!=0/1

y!=0

y∈R


We add all the numbers together, and all the variables

(+21/26)y-7=0

We multiply parentheses

21y^2-7=0

a = 21; b = 0; c = -7;
Δ = b2-4ac
Δ = 02-4·21·(-7)
Δ = 588
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:

$\sqrt{\Delta}=\sqrt{588}=\sqrt{196*3}=\sqrt{196}*\sqrt{3}=14\sqrt{3}$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-14\sqrt{3}}{2*21}=\frac{0-14\sqrt{3}}{42}
=-\frac{14\sqrt{3}}{42}
=-\frac{\sqrt{3}}{3}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+14\sqrt{3}}{2*21}=\frac{0+14\sqrt{3}}{42}
=\frac{14\sqrt{3}}{42}
=\frac{\sqrt{3}}{3}
$