4x*17x=26

Solution for 4x*17x=26 equation:

4x*17x=26

We move all terms to the left:

4x*17x-(26)=0

Wy multiply elements

68x^2-26=0

a = 68; b = 0; c = -26;
Δ = b2-4ac
Δ = 02-4·68·(-26)
Δ = 7072
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:

$\sqrt{\Delta}=\sqrt{7072}=\sqrt{16*442}=\sqrt{16}*\sqrt{442}=4\sqrt{442}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{442}}{2*68}=\frac{0-4\sqrt{442}}{136}
=-\frac{4\sqrt{442}}{136}
=-\frac{\sqrt{442}}{34}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{442}}{2*68}=\frac{0+4\sqrt{442}}{136}
=\frac{4\sqrt{442}}{136}
=\frac{\sqrt{442}}{34}
$