Answer:
x = 5/2 or x = 1/3
Step-by-step explanation:
Simplify
(
2
x
−
5
)(
3
x
−
1
)
.
6
x
2
−
17
x
+
5
=
0
Use the quadratic formula to find the solutions.
[tex]\frac{-b+\sqrt{b^2-4ac} }{2a}[/tex] or [tex]\frac{-b-\sqrt{b^2-4ac} }{2a}[/tex]
Substitute the values a
=
6
, b
=
−
17
, and c
=
5 into the quadratic formula and solve for x
.
17
±sqrt(-17)^2-4*(6*5)
_________________
2*6
Simplify.
x
=
17
±
13
/12
The final answer is the combination of both solutions.
x
=
5
/2
, 1
/3
