0=5-(2x-17)x=

Solution for 0=5-(2x-17)x= equation:

0=5-(2x-17)x=

We move all terms to the left:

0-(5-(2x-17)x)=0

We add all the numbers together, and all the variables

-(5-(2x-17)x)=0


We calculate terms in parentheses: -(5-(2x-17)x), so:

5-(2x-17)x

determiningTheFunctionDomain
-(2x-17)x+5

We multiply parentheses

-2x^2+17x+5

Back to the equation:

-(-2x^2+17x+5)


We get rid of parentheses

2x^2-17x-5=0

a = 2; b = -17; c = -5;
Δ = b2-4ac
Δ = -172-4·2·(-5)
Δ = 329
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{329}}{2*2}=\frac{17-\sqrt{329}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-17)+\sqrt{329}}{2*2}=\frac{17+\sqrt{329}}{4}
$