1x(-5/6)=-5/6

Solution for 1x(-5/6)=-5/6 equation:

1x(-5/6)=-5/6

We move all terms to the left:

1x(-5/6)-(-5/6)=0

We multiply parentheses

-5x^2-(-5/6)=0

We get rid of parentheses

-5x^2+5/6=0

We multiply all the terms by the denominator


-5x^2*6+5=0

Wy multiply elements

-30x^2+5=0

a = -30; b = 0; c = +5;
Δ = b2-4ac
Δ = 02-4·(-30)·5
Δ = 600
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:

$\sqrt{\Delta}=\sqrt{600}=\sqrt{100*6}=\sqrt{100}*\sqrt{6}=10\sqrt{6}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-10\sqrt{6}}{2*-30}=\frac{0-10\sqrt{6}}{-60}
=-\frac{10\sqrt{6}}{-60}
=-\frac{\sqrt{6}}{-6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+10\sqrt{6}}{2*-30}=\frac{0+10\sqrt{6}}{-60}
=\frac{10\sqrt{6}}{-60}
=\frac{\sqrt{6}}{-6}
$