Ask Question
18 December, 18:22

What are the values of x in the equation x2 - 6x + 9 = 25?

x = - 2 or x = 8

x = - 1 or x = - 11

x = 1 or x = 11

x = 2 or x = - 8

+1
Answers (2)
  1. 18 December, 18:24
    0
    x = - 2 or x = 8

    Step-by-step explanation:

    x²-6x+9 = 25

    Subtracting 25 from both the sides,

    x²-6x+9-25 = 25 - 25

    Cancelling out 25 and - 25 from the right side

    x²-6x+9-25 = 0

    1x²-6x-16 = 0

    Multiplying the quotient of the first term with the last term,

    1 * (-16) = - 16

    We need to find out two such factors of - 16 which when added gives us the middle term coefficient - 6.

    -8 and 2 are such factors of - 16, which when added gives us the middle term coefficient - 6.

    So, we rewrite the middle term - 6x as - 8x+2x

    x²-8x+2x-16 = 0

    Factor out x from the first two terms

    x (x-8) + 2x-16 = 0

    Factor out 2 from the last two terms

    x (x-8) + 2 (x-8) = 0

    Factor out (x-8) from both the terms

    (x-8) (x+2) = 0

    Either x-8 = 0 or x+2=0

    Solving x-8=0, we get x = 8

    Solving x+2=0, we get x = - 2
  2. 18 December, 18:40
    0
    The answer is A, x = - 2 or x = 8
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “What are the values of x in the equation x2 - 6x + 9 = 25? x = - 2 or x = 8 x = - 1 or x = - 11 x = 1 or x = 11 x = 2 or x = - 8 ...” 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