Question

What is true about the solutions of a quadratic equation when the radicand of the quadratic formula is zero?

A. No real solutions

B. Two identical rational solutions

C. Two different rational solutions

D. Two irrational solutions

Answer 1

two identical rational solutions ^

Answer 2

The quadratic formula is
`(-b +/- √(b^2 - 4ac) )/(2a)`

If the square root in the numerator is equal to 0, we are left with
`(-b +/- 0)/(2a)`

when you do the plus or minus, the answers will be the same since you are adding and subtracting 0. Therefore there will be two identical rational solutions.