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Algebra · Completing-The-Square

Complete the square x^2 + 6x + 2

x^{2} + 6 x + 2

Step by step

  1. x^{2} + 6 x + 2

    Start from the expression.

  2. \left(\frac{b}{2a}\right)^2 = \left(3\right)^2 = 9

    Half the x-coefficient, squared, is what completes the square.

  3. \left(x + 3\right)^{2} - 7

    Add and subtract it inside, then write the perfect square. The vertex is at (-3, -7).

Reveal the answer
\left(x + 3\right)^{2} - 7