OpenStax, Algebra and Trigonometry 2e §12.1 The Ellipse · Try It 2 · Geometry · Conic sections

The Ellipse · Try It 2

Complete the square of a binomial expression.

Use the square root property to solve $x^{2} + 6 x + 9 = 7$ . Use the steps below to guide your work.

ⓐ $x^{2} + 6 x + 9$ is a perfect square trinomial. Factor it into $\left(_ + _\right)^{2}$ .
ⓑ Take a square root of both sides. Remember to have ± on the right side.
ⓒ Solve for x.

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OpenStax, Algebra and Trigonometry 2e · §12.1 The Ellipse · Try It 2

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