Question

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

No real solutions

Two identical rational solutions

Two different rational solutions

Two irrational solutions

Answer 1

Two identical rational solutions..

Answer 2

When D = 0, then two real but equal solutions form..

Answer 3

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Answer 4

Might not be rational, but will certainly be real. In the case of a quadratic with integer coefficients, it will be rational.

Answer 5

Example:\[(x-\sqrt2)^2=x^2-2\sqrt2x+2=0 \implies x=\sqrt2\]One (repeated) root, real but not rational.