x=2(-63/13)-11

Solution for x=2(-63/13)-11 equation:

x=2(-63/13)-11

We move all terms to the left:

x-(2(-63/13)-11)=0

We multiply all the terms by the denominator


x*13)-11)-(2(-63=0

Wy multiply elements

13x^2-63=0

a = 13; b = 0; c = -63;
Δ = b2-4ac
Δ = 02-4·13·(-63)
Δ = 3276
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:

$\sqrt{\Delta}=\sqrt{3276}=\sqrt{36*91}=\sqrt{36}*\sqrt{91}=6\sqrt{91}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-6\sqrt{91}}{2*13}=\frac{0-6\sqrt{91}}{26}
=-\frac{6\sqrt{91}}{26}
=-\frac{3\sqrt{91}}{13}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+6\sqrt{91}}{2*13}=\frac{0+6\sqrt{91}}{26}
=\frac{6\sqrt{91}}{26}
=\frac{3\sqrt{91}}{13}
$