4-32x=17x2

Solution for 4-32x=17x2 equation:

4-32x=17x^2

We move all terms to the left:

4-32x-(17x^2)=0

determiningTheFunctionDomain
-17x^2-32x+4=0

a = -17; b = -32; c = +4;
Δ = b2-4ac
Δ = -322-4·(-17)·4
Δ = 1296
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1296}=36$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-32)-36}{2*-17}=\frac{-4}{-34}
=2/17
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-32)+36}{2*-17}=\frac{68}{-34}
=-2
$