Multiple choice

If an equation has two equal roots, i.e. - 4, the equation is _______.

  1. (x - 4)2 = 4

  2. (x - 4)2 = 0

  3. (x + 4) 2 = 0

  4. none of these
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C Correct answer
Explanation

An equation with equal roots of -4 is (x - (-4))^2 = 0, which is (x + 4)^2 = 0.

AI explanation

A quadratic equation with a double root r has the factored form (x - r)^2 = 0. The question specifies that the equal roots are -4. Substituting r = -4 into the standard form gives (x - (-4))^2 = 0. This simplifies directly to (x + 4)^2 = 0.

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