Answer:
8x^2 -14x +3 = 0
Step-by-step explanation:
The sum of the roots is (3/2) +(1/4) = (6/4 +1/4) = 7/4.
The product of the roots is (3/2)(1/4) = 3/8.
The quadratic can be written as ...
x^2 -(sum of roots)x +(product of roots) = 0
x^2 -7/4x +3/8 = 0
Multiplying by 8 makes all of the coefficients be integers:
8x^2 -14x +3 = 0
