Question

Calculate the discriminant and use it to determine how many real-number roots the equation has.

3x^2 – 17x + 10 = 0
A. Two irrational solutions

B. Three nonreal solutions

C. Two rational solutions

D. One rational solution

Answer 1

The discriminant of a quadratic equation is calculated through the equation,
D = b² - 4ac
where a and b are the numerical coefficients of x² and x, respectively, and c is the constant. Substituting the values,
D = (-17)² - (4)(3)(10)
= 169
Since the discriminant is greater than zero and is a perfect square, the roots are two rational solutions. Thus, the answer is letter C.