The equation $x^2 + 5 \sqrt{5}x-70 = 0$ has
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real and unequal roots
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real and equal roots
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both imaginary roots
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one real and one imaginary roots
Reveal answer
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A
Correct answer
Explanation
Discriminant D = b^2 - 4ac = (5*sqrt(5))^2 - 4(1)(-70) = 125 + 280 = 405. Since D > 0, the roots are real and unequal.
AI explanation
We find the discriminant using b^2 - 4ac, with a = 1, b = 5 * sqrt(5), and c = -70. The calculation gives (5 * sqrt(5))^2 - 4(1)(-70) = 125 + 280 = 405. Because the discriminant is positive and not zero, the equation has real and unequal roots.