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Question

Solve for x in the equation by completeng square x^2 + 2x = k

Answer 1

The equation is x² + 2x = k .

x² + 2(1)(x) = k 

Add 1 on each side .

x² + 2(1)(x) +1 = k +1

x² + 2(1)(x) + 1² = k +1

(x+1)² = k+1

Aplly square root on each side .

x + 1 = ±√(k+1) 

x = ±√(k+1) -1 

So the solution for the equation is x = ±√(k+1) -1 .