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Greeley [361]
3 years ago
8

Rewrite the equation by completing the square. x² + 8x + 12 =10

Mathematics
2 answers:
kow [346]3 years ago
5 0

Answer:

  (x +4)^2 = 14

Step-by-step explanation:

The constant on the left wants to be the square of half the coefficient of the linear term:

  (8/2)^2 = 16

In order for it to be that value, we need to add 4 to the equation.

  x^2 +8x +12 +4 = 10 +4

  x^2 +8x +16 = 14 . . . . collect terms

  (x +4)^2 = 14 . . . . . . . write as a square

sashaice [31]3 years ago
3 0

Answer:

<em>(x+4)² - 14 =0</em>

Step-by-step explanation:

x² + 8x + 12 =10

(x²+4²) - 4²+12 = 10

(x+4)² -4-10 = 0

<em>(x+4)² - 14 =0</em>

<em> </em><em>N</em><em>o</em><em>t</em><em>e</em><em>:</em><em> </em> When completing squares, in the equation above.

  • We <em>square</em><em> </em><em>the</em><em> </em><em>half</em><em> </em><em>of</em><em> </em><em>8</em><em>.</em>
  • We <em>add</em><em> </em><em>the</em><em> </em><em>result</em><em> </em><em>to</em><em> </em><em>x² </em><em>,</em><em> </em><em>and</em><em> </em><em>subtract</em><em> </em><em>it</em><em> </em><em>with</em><em> </em><em>1</em><em>2</em><em>.</em>

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