Multiple choice

The roots of the following quadratic equation are not real $\dfrac{3}{5}x^2-\dfrac{3}{5}x+1$

  1. True

  2. False
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A Correct answer
Explanation

For the quadratic expression, the discriminant is (-3/5)^2 - 4(3/5)(1) = -51/25, which is negative. Therefore, the roots are not real.

AI explanation

We evaluate the discriminant D = b^2 - 4ac for the quadratic expression, using the coefficients a = 3/5, b = -3/5, and c = 1. The calculation gives D = (-3/5)^2 - 4(3/5)(1) = 9/25 - 12/5 = 9/25 - 60/25 = -51/25. Since the discriminant is less than zero, the roots are not real.

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