Question

How do you solve `3h^2 - 10h +8=0`?

Answer 1

`color(green)( h=2 , h=4/3`

Explanation:

`3h^2 - 10h + 8 = 0`
We can first factorise this expression and then proceed towards finding the solution:

factorising by : splitting the middle term
`3h^2 color(blue)(-10h) + 8 = 0`
`3h^2 color(blue)(- 6h - 4h) + 8 = 0`
`3h( h- 2) - 4 (h - 2) = 0`
`color(green)((h-2) ( 3h- 4)) = 0`

Equating the factors with zero to obtain solutions:
`h-2 = 0` and `3h-4 = 0`

So, the solutions are:
`color(green)( h=2 , h=4/3`