Question

What kind of solutions does `4/3x^2 - 2x + 3/4 = 0` have?

Answer 1

`4/3x^2 - 2x +3/4=0`
`color(white)("XXXX")` `color(white)("XXXX")` `color(white)("XXXX")`has one Real solution

Explanation:

For a quadratic of the form `ax^2+bx+c=0`
the discriminant `Delta = b^2-4ac` indicates the number and type of roots.

`Delta {(>0 rarr "2 Real solutions"), (=0 rarr "1 Real solution"),(<0 rarr "no Real solutions (2 Complex solutions)"):}`

For `4/3x^2 -2x +3/4 = 0`

`Delta = (-2)^2 - 4(4/3)(3/4) = 0`