Both solutions are irrational.
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Explanation:
The given function f(x) = 5x^2+2x-12 is in the form f(x) = ax^2+bx+c
We see that
a = 5, b = 2, c = -12
Plug those values into the discriminant formula below
D = b^2 - 4ac
D = (2)^2 - 4(5)(-12)
D = 4 - 4(5)(-12)
D = 4 + 240
D = 244
Because D > 0, this means we have two different real solutions for f(x) = 0
The value of D is not a perfect square, so those two solutions or roots are irrational.
