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12 February, 09:28

Solve the quadratic equation below by completing the square. What are the

solutions?

x2 + 10x + 22 = 31

+3
Answers (1)
  1. 12 February, 09:44
    0
    (x+5) ^2=34

    Solutions: ≈ - 10.831, 0.831

    Step-by-step explanation:

    First you divide the second term by two to complete the square. The second term divided by two is 5, 5^2 is 25 which means you need a value of 25 to factor. Add 3 to both sides so you have a value of 25 on the left side.

    x^2+10x+25=34 Next, factor the left side.

    (x+5) ^2=34

    The solutions to this equation are not rational, you could use the quadratic formula to find the exact answer or put the equation into a graphing calculator to find approximate solutions.
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