43x2/5=17.2

Solution for 43x2/5=17.2 equation:

43x^2/5=17.2

We move all terms to the left:

43x^2/5-(17.2)=0

We add all the numbers together, and all the variables

43x^2/5-17.2=0

We multiply all the terms by the denominator


43x^2-(17.2)*5=0

We add all the numbers together, and all the variables

43x^2-86=0

a = 43; b = 0; c = -86;
Δ = b2-4ac
Δ = 02-4·43·(-86)
Δ = 14792
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:

$\sqrt{\Delta}=\sqrt{14792}=\sqrt{7396*2}=\sqrt{7396}*\sqrt{2}=86\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-86\sqrt{2}}{2*43}=\frac{0-86\sqrt{2}}{86}
=-\frac{86\sqrt{2}}{86}
=-\sqrt{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+86\sqrt{2}}{2*43}=\frac{0+86\sqrt{2}}{86}
=\frac{86\sqrt{2}}{86}
=\sqrt{2}
$