Multiple choice

Solving the following quadratic equation by factorization , the roots are: $-\dfrac{4}{5}, \, -\dfrac{1}{5}$ 25x(x + 1) = -4

  1. True

  2. False
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A Correct answer
AI explanation

Rewrite the given equation as 25x^2 + 25x + 4 = 0. Splitting the middle term, we get 25x^2 + 20x + 5x + 4 = 0, which factors into 5x(5x + 4) + 1(5x + 4) = 0. This gives (5x + 4)(5x + 1) = 0, so the roots are x = -4/5 and x = -1/5. The statement is True.

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