Solve x2 – 8x = 20 by completing the square. which is the solution set of the equation? {–22, 14} {–14, 22} {–10, 2} {–2, 10}

D is the right answer. The solution set of the given equation={-2,10}.

Explanation:

Given equation:

The standard perfect square trinomial equation is

On comparing this with the left side of the given equation ,we get 2a=-8

⇒a= -4 and

Now to make given equation perfect square add 16 on the both sides, we get

Taking square root on both the sides we get,

add 4 on both sides, we get

⇒x= -6+4 or x=6+4

⇒x=-2 or x=10

Therefore, the solution set of the given equation={-2,10}.

Thus D is the right answer.

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