How can you tell when a quadratic equation has two identical, rational solutions?. a:when the radicand is negative. b:when the radicand is not a perfect square. c:when b in the quadratic formula is greater than the radicand. d:when the radicand equals zero

"When the radicand equals zero" is the one among the following choices given in the question that you can tell when a quadratic equation has two identical, rational solutions. The correct option among all the options that are given in the question is the fourth option or option "d". I hope the answer has helped you.

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lidaralbany lidaralbany · Answer 2 · 2019-07-24T17:04:50+02:00

Answer:

The quadratic equation has two identical, rational solutions:

d: when the radicand equals zero.

Step-by-step explanation:

We know that the general quadratic equation of the type:

[tex]ax^2+bx+c=0[/tex]

The solution is given by:

[tex]x=\dfrac{-b\pm \sqrt{D}}{2a}[/tex]

with discriminant:

[tex]D=b^2-4ac[/tex]

has:

Two rational and identical solution if the radicand i.e. [tex]D[/tex] is equal to zero.

Two rational and unequal solution if the radicand i.e. D is strictly greater than zero.

Two imaginary solution if the radicand i.e. D is strictly less than zero.