The first few steps in solving the quadratic equation 5x2 27x = 14 - 13x by completing the square are shown. 5x2 27x = 14 - 13x 5x2 40x = 14 5 (x2 8x) = 14 which is the best step to do next to solve the equation by completing the square? 5 (x2 8x 16) = 30 5 (x2 8x 16) = 94 5 (x2 8x 4) = 18 5 (x2 8x 4) = 34

Question

Mathematics

Julio Peters

12 November, 14:09

The first few steps in solving the quadratic equation 5x2 27x = 14 - 13x by completing the square are shown. 5x2 27x = 14 - 13x 5x2 40x = 14 5 (x2 8x) = 14 which is the best step to do next to solve the equation by completing the square? 5 (x2 8x 16) = 30 5 (x2 8x 16) = 94 5 (x2 8x 4) = 18 5 (x2 8x 4) = 34

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Answers (1)

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Tia Gray · Answer 1

The best step to do next is to add 80 to both sides of equation:

5 (x² + 8 x) + 80 = 14 + 80

and since 80 = 5 · 16

5 (x² + 8 x + 16) = 94 Answer : B)

After that we will continue like this:

5 (x + 4) ² = 94

(x + 4) ² = 18.8 ... etc