Ask Question
26 October, 12:33

What are the solutions of x ^ 2 + 6x - 6 = 10? x = - 11 x = 1 x = - 11 x = - 1 x = - 8x = - 2 x = - 8x = 2

+5
Answers (1)
  1. 26 October, 12:45
    0
    x=-8,2

    Step-by-step explanation:

    x ^ 2 + 6x - 6 = 10

    Add 6 to each side

    x ^ 2 + 6x - 6+6 = 10+6

    x ^ 2 + 6x = 16

    Complete the square take the coefficient of the x terms, divide by 2 and square it. Then add it to each side

    6/2 = 3, 3^2 = 9

    x ^ 2 + 6x + 9 = 16+9

    (x+3) ^2 = 25

    Take the square root of each side

    sqrt ((x+3) ^2) = ±sqrt (25)

    x+3 = ±5

    Make 2 equations

    x+3 = 5 x+3 = - 5

    Subtract 3 from each side

    x+3-3 = 5-3 x+3-3 = - 5-3

    x = 2 x=-8
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “What are the solutions of x ^ 2 + 6x - 6 = 10? x = - 11 x = 1 x = - 11 x = - 1 x = - 8x = - 2 x = - 8x = 2 ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers