Question

Use the quadratic formula to find the solution to the question
3x^2-10x+5=0

Answer 1

`x_(1) =`
`(5 + √(10) )/(3)` and
`x_(2) =`
`(5 - √(10) )/(3)`

Explanation:

3x^2-10x+5=0

`x_(1)` =
`\frac{10 + \sqrt{10^(2)-4*3*5 } }{2*3}`
`x_(2) =`
`\frac{10 - \sqrt{10^(2)-4*3*5 } }{2*3}`

`x_(1) =`
`(10 + √(100-60) )/(6)`
`x_(2) =`
`(10 - √(100-60) )/(6)`

`x_(1) =`
`(10 + √(40) )/(6)`
`x_(2) =`
`(10 - √(40) )/(6)`

`x_(1) =`
`(10 + 2√(10) )/(6)` / 2
`x_(2) =`
`(10 - 2√(10) )/(6)` / 2

`x_(1) =`
`(5 + √(10) )/(3)`
`x_(2) =`
`(5 - √(10) )/(3)`