Multiple choice

The roots of the following quadratic equation are not real $2x^2- 3x + 5$ = 0

  1. True

  2. False
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A Correct answer
Explanation

The discriminant D = b^2 - 4ac = (-3)^2 - 4(2)(5) = 9 - 40 = -31. Since D < 0, the roots are not real.

AI explanation

For the equation 2x^2 - 3x + 5 = 0, we evaluate the discriminant D = b^2 - 4ac. Substituting the coefficients gives D = (-3)^2 - 4(2)(5) = 9 - 40 = -31. Because the discriminant is a negative number, the roots are not real.

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