What is the value of the discriminant of the quadratic equation −1 = 5x2 −2x, and what does its value mean about the number of real number solutions the equation has? a. the discriminant is equal to −16, which means the equation has no real number solutions. b. the discriminant is equal to −16, which means the equation has two real number solutions. c. the discriminant is equal to 24, which means the equation has no real number solutions. d. the discriminant is equal to 24, which means the equation has two real number solutions.

Option: A is the correct answer.

A.  The discriminant is equal to −16, which means the equation has no real number solutions.

We know that for any quadratic equation of the type:

where a , b and c are real numbers and a is non-zero.

Then if the discriminant i.e. D

Then the equation has both the solutions as real.

and if:

then both the solutions are non-real i.e. imaginary or complex.

We are given a quadratic equation as:

which could be written as:

i.e.

Hence, we have:

Hence, both the solutions of the equation are non-real.

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step-by-step explanation: