x=13(-24/26)

Solution for x=13(-24/26) equation:

x=13(-24/26)

We move all terms to the left:

x-(13(-24/26))=0

We multiply all the terms by the denominator


x*26))-(13(-24=0

Wy multiply elements

26x^2-24=0

a = 26; b = 0; c = -24;
Δ = b2-4ac
Δ = 02-4·26·(-24)
Δ = 2496
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{2496}=\sqrt{64*39}=\sqrt{64}*\sqrt{39}=8\sqrt{39}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-8\sqrt{39}}{2*26}=\frac{0-8\sqrt{39}}{52}
=-\frac{8\sqrt{39}}{52}
=-\frac{2\sqrt{39}}{13}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+8\sqrt{39}}{2*26}=\frac{0+8\sqrt{39}}{52}
=\frac{8\sqrt{39}}{52}
=\frac{2\sqrt{39}}{13}
$