Question

Use the discriminant to describe the √s of each equation. Then select the best description.x2 + 9x + 14 = 0

A) double √
B) real and rational √s
C) real and irrational √s
D) non-real √s​

Answer 1

The square roots of the equation x² + 9x + 14 = 0 are real and rational √s. Hence the correct answer is option B

Step-by-step explanation:

To describe the square roots of the equation x² + 9x + 14 = 0, we can use the discriminant. The discriminant is the part of the quadratic formula that is inside the square root sign, and it helps determine the nature of the roots. The discriminant is given by b² - 4ac, where a, b, and c are the coefficients of the quadratic equation. In this case, a = 1, b = 9, and c = 14. Substituting these values into the discriminant formula, we get: (9)² - 4(1)(14) = 81 - 56 = 25.

Since the discriminant is positive (25), the quadratic equation has two real solutions. Therefore, the √s (square roots) of this equation are real and rational.

So the correct answer is:

B) real and rational √s.