17x*20x=1039

Solution for 17x*20x=1039 equation:

17x*20x=1039

We move all terms to the left:

17x*20x-(1039)=0

Wy multiply elements

340x^2-1039=0

a = 340; b = 0; c = -1039;
Δ = b2-4ac
Δ = 02-4·340·(-1039)
Δ = 1413040
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:

$\sqrt{\Delta}=\sqrt{1413040}=\sqrt{16*88315}=\sqrt{16}*\sqrt{88315}=4\sqrt{88315}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{88315}}{2*340}=\frac{0-4\sqrt{88315}}{680}
=-\frac{4\sqrt{88315}}{680}
=-\frac{\sqrt{88315}}{170}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{88315}}{2*340}=\frac{0+4\sqrt{88315}}{680}
=\frac{4\sqrt{88315}}{680}
=\frac{\sqrt{88315}}{170}
$