-1+34/28=x2

Solution for -1+34/28=x2 equation:

-1+34/28=x2

We move all terms to the left:

-1+34/28-(x2)=0

We add all the numbers together, and all the variables

-1x^2-1+34/28=0

We multiply all the terms by the denominator


-1x^2*28+34-1*28=0

We add all the numbers together, and all the variables

-1x^2*28+6=0

Wy multiply elements

-28x^2+6=0

a = -28; b = 0; c = +6;
Δ = b2-4ac
Δ = 02-4·(-28)·6
Δ = 672
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:

$\sqrt{\Delta}=\sqrt{672}=\sqrt{16*42}=\sqrt{16}*\sqrt{42}=4\sqrt{42}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{42}}{2*-28}=\frac{0-4\sqrt{42}}{-56}
=-\frac{4\sqrt{42}}{-56}
=-\frac{\sqrt{42}}{-14}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{42}}{2*-28}=\frac{0+4\sqrt{42}}{-56}
=\frac{4\sqrt{42}}{-56}
=\frac{\sqrt{42}}{-14}
$