Question

The discriminant of a quadratic equation is 34. Which of the following is true about its roots? *

Answer 1

Answer:

d. The roots are real, rational and equal.

Step-by-step explanation:

The discriminant of a quadratic equation is expressed using the equation:

D = b²-4ac. It talks about the nature of the roots of a quadratic equation.

If D>0, then the roots is real and unequal/distinct

If D<0 the roots are unreal and imaginary

If D = 0, the  roots are real and equal (one real root)

According to this question, since the root given is a real value and also one value, then the the roots are real, rational and equal. Note that the root is rational since we can write it as a ratio of two integers e.g 34 = 34/1. 34 and 1 are integers