Multiple choice

Equation $x^2-17x+66=0$ has real roots.

  1. True

  2. False
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The discriminant of x^2 - 17x + 66 = 0 is D = b^2 - 4ac = (-17)^2 - 4(1)(66) = 289 - 264 = 25. Since D > 0, the roots are real.

AI explanation

To determine if the quadratic equation has real roots, we calculate the discriminant, which equals b squared minus 4 times a times c. Substituting the values from the equation gives negative 17 squared minus 4 times 1 times 66, resulting in 289 minus 264, which equals 25. Since the discriminant is a positive number, the equation has two distinct real roots. The result is True.

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