Question

How many and what type of solutions does 3x2−x−5=0 have?

Answer 1

`(1+√(61) )/(6)`,
`(1-√(61) )/(6)`

Explanation:

3x² − x − 5 = 0

The equation:
`\frac{-b±\sqrt{b^(2)-4(ac) }}{2a}`

We put in the number:

`\frac{1±\sqrt{-1^(2)-4(3(-5)) } }{2(3)}`

x =
`(1±√(61) )/(6)`

x =
`(1+√(61) )/(6)` and
`(1-√(61) )/(6)`

So, there are 2 answers.