How can you tell when a quadratic equation has two identical, rational solutions?. a:when the radicand is negative. b:when the r

Question

3 years ago

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How can you tell when a quadratic equation has two identical, rational solutions?. a:when the radicand is negative. b:when the r

adicand is not a perfect square. c:when b in the quadratic formula is greater than the radicand. d:when the radicand equals zero

Mathematics

2 answers:

sergey [27] · Answer 1 · 2022-07-29T09:13:59+03:00

"When the radicand equals zero" is the one among the following choices given in the question that you can tell when <span>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.</span>

Deffense [45] · Answer 2 · 2022-07-29T11:10:28+03:00

<h2>Answer:</h2>

The quadratic equation has two identical, rational solutions:

d: when the radicand equals zero.

<h2>Step-by-step explanation:</h2>

We know that the general quadratic equation of the type:

$ax^2+bx+c=0$

The solution is given by:

$x=\dfrac{-b\pm \sqrt{D}}{2a}$

with discriminant:

$D=b^2-4ac$

has:

Two rational and identical solution if the radicand i.e. $D$ 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.