y=24+3(-84/13)

Solution for y=24+3(-84/13) equation:

y=24+3(-84/13)

We move all terms to the left:

y-(24+3(-84/13))=0

We multiply all the terms by the denominator


y*13))-(24+3(-84=0

Wy multiply elements

13y^2-84=0

a = 13; b = 0; c = -84;
Δ = b2-4ac
Δ = 02-4·13·(-84)
Δ = 4368
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:

$\sqrt{\Delta}=\sqrt{4368}=\sqrt{16*273}=\sqrt{16}*\sqrt{273}=4\sqrt{273}$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{273}}{2*13}=\frac{0-4\sqrt{273}}{26}
=-\frac{4\sqrt{273}}{26}
=-\frac{2\sqrt{273}}{13}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{273}}{2*13}=\frac{0+4\sqrt{273}}{26}
=\frac{4\sqrt{273}}{26}
=\frac{2\sqrt{273}}{13}
$