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

3x^2 – 17x + 10 = 0

ATwo irrational solutions

BThree nonreal solutions

CTwo rational solutions

DOne rational solution

Verified Answer :

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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.

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