Question

What are the x intercepts for `f(x) = -2x^2 + 4x + 3`?

Answer 1

f(x) = -2x^2 + 4x + 3 = 0

`D = d^2 = b^2 - 4ac = 16 + 24 = 40 = 4(10) -> d = +- 2sqrt10`

Two x-intercepts: `x = -b/2a +- d/2a`

`x = 1 + (2sqrt10)/-4 = 1 - (sqrt10)/2`

`x = 1 + (sqrt10)/2`