2x2-17x=-3

Solution for 2x2-17x=-3 equation:

2x^2-17x=-3

We move all terms to the left:

2x^2-17x-(-3)=0

We add all the numbers together, and all the variables

2x^2-17x+3=0

a = 2; b = -17; c = +3;
Δ = b2-4ac
Δ = -172-4·2·3
Δ = 265
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-17)-\sqrt{265}}{2*2}=\frac{17-\sqrt{265}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-17)+\sqrt{265}}{2*2}=\frac{17+\sqrt{265}}{4}
$