Question

The quadratic equations x² - 5x + 3 = 0 has

A. no real roots
B. two distinct real roots
C. two equal real roots
D. more than two real roots

Answer 1

Answer:

1. Let’s solve it by using quadratic formula:

a = 1, b = -5, c = 3

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And if discriminant is greater than 0, the equation has 2 (or more) possible solves, so A answer can’t be right. Let’s continue:


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So those are two right answer for this equations. Those numbers are different so the right answer is B.

Answer 2

The quadratic equation x² - 5x + 3 = 0 has two distinct real roots.

Step-by-step explanation:

The quadratic equation x² - 5x + 3 = 0 has B. two distinct real roots. To determine the number and nature of the roots of a quadratic equation, we can use the discriminant (b² - 4ac) where a, b, and c are the coefficients of the equation.

In this equation, a = 1, b = -5, and c = 3. Plugging these values into the discriminant formula, we get (-5)² - 4(1)(3) = 25 - 12 = 13.

Since the discriminant is positive (13 > 0), the quadratic equation has two distinct real roots.