Multiple choice

The roots of the quadratic equation $a{ x }^{ 2 }+b{x}=0$ are

  1. $0,-\cfrac { b }{ a } $
  2. $0,+\cfrac { b }{ a } $
  3. $+\cfrac { b }{ a } ,-\cfrac { b }{ a } $
  4. $-\cfrac { b }{ a } ,-\cfrac { b }{ a } $
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A Correct answer
Explanation

ax^2 + bx = 0. Factor out x: x(ax + b) = 0. Roots are x = 0 and ax + b = 0, so x = -b/a.

AI explanation

The given equation is ax squared + bx = 0, which can be factored by taking x common, resulting in x times (ax + b) equals 0. Setting each factor to zero gives the equations x equals 0 and ax + b equals 0. Solving the second equation for x yields x equals negative b divided by a, making the roots 0 and negative b/a.

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