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Solve (w– 5)2 – 8=0, where w is a real number.

Solve (w– 5)2 – 8=0, where w is a real number.-example-1

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EXPLANATION

Given the expression (w - 5)^2 - 8 = 0

Adding +8 to both sides:

( w - 5 ) ^ 2 = 8

Applying the trinomial perfect square:

w^2 - 2*5*w + 5*5 = 8

Simplifying:

w^2 -10w + 25 = 8

Subtracting -8 to both sides

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