16x(2)=x+17

Solution for 16x(2)=x+17 equation:

16x(2)=x+17

We move all terms to the left:

16x(2)-(x+17)=0

We add all the numbers together, and all the variables

16x^2-(x+17)=0

We get rid of parentheses

16x^2-x-17=0

We add all the numbers together, and all the variables

16x^2-1x-17=0

a = 16; b = -1; c = -17;
Δ = b2-4ac
Δ = -12-4·16·(-17)
Δ = 1089
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1089}=33$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-33}{2*16}=\frac{-32}{32}
=-1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+33}{2*16}=\frac{34}{32}
=1+1/16
$