Multiple choice

Find the value of m if one of the roots of the equation x2 + x - m = 0 is - 3/2 .

  1. 1

  2. 0

  3. 3/4

  4. -3/4
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C Correct answer
Explanation

Substitute x = -3/2 into x^2 + x - m = 0. (-3/2)^2 + (-3/2) - m = 0. 9/4 - 6/4 - m = 0. 3/4 - m = 0, so m = 3/4.

AI explanation

Since one of the roots of the equation x squared + x - m = 0 is -3/2, we can substitute this value in place of x. This gives (-3/2) squared + (-3/2) - m = 0. Simplifying the equation yields 9/4 - 6/4 - m = 0, which means 3/4 - m = 0. Solving for m gives m = 3/4.

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