(9/7)y-4=59

Solution for (9/7)y-4=59 equation:

(9/7)y-4=59

We move all terms to the left:

(9/7)y-4-(59)=0


Domain of the equation: 7)y!=0

y!=0/1

y!=0

y∈R


We add all the numbers together, and all the variables

(+9/7)y-4-59=0

We add all the numbers together, and all the variables

(+9/7)y-63=0

We multiply parentheses

9y^2-63=0

a = 9; b = 0; c = -63;
Δ = b2-4ac
Δ = 02-4·9·(-63)
Δ = 2268
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:

$\sqrt{\Delta}=\sqrt{2268}=\sqrt{324*7}=\sqrt{324}*\sqrt{7}=18\sqrt{7}$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-18\sqrt{7}}{2*9}=\frac{0-18\sqrt{7}}{18}
=-\frac{18\sqrt{7}}{18}
=-\sqrt{7}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+18\sqrt{7}}{2*9}=\frac{0+18\sqrt{7}}{18}
=\frac{18\sqrt{7}}{18}
=\sqrt{7}
$