Multiple choice

State whether true or false: Solve the quadratic equation $y^{2}-5y-24=0$, then $y\, =\, 8$ or $-3$

  1. True

  2. False
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A Correct answer
Explanation

For y^2 - 5y - 24 = 0, the roots are (5 +/- sqrt(25 - 4*1*-24))/2 = (5 +/- sqrt(121))/2 = (5 +/- 11)/2. Roots are 8 and -3.

AI explanation

To solve y^2 - 5y - 24 = 0, we find two numbers that multiply to -24 and add to -5, which are -8 and 3. This gives the factors (y - 8)(y + 3) = 0. Setting each factor to zero results in y = 8 or y = -3, making the statement True.

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