Ask Question
3 April, 05:34

Solve the equation by completing the square. Round to the nearest hundredth if necessary. x2 - 4x = 5

+1
Answers (1)
  1. 3 April, 09:28
    0
    Solve for x over the real numbers:

    x^2 - 4 x = 5

    Subtract 5 from both sides:

    x^2 - 4 x - 5 = 0

    x = (4 ± sqrt ((-4) ^2 - 4 (-5))) / 2 = (4 ± sqrt (16 + 20)) / 2 = (4 ± sqrt (36)) / 2:

    x = (4 + sqrt (36)) / 2 or x = (4 - sqrt (36)) / 2

    sqrt (36) = sqrt (4*9) = sqrt (2^2*3^2) = 2*3 = 6:

    x = (4 + 6) / 2 or x = (4 - 6) / 2

    (4 + 6) / 2 = 10/2 = 5:

    x = 5 or x = (4 - 6) / 2

    (4 - 6) / 2 = - 2/2 = - 1:

    Answer: x = 5 or x = - 1
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “Solve the equation by completing the square. Round to the nearest hundredth if necessary. x2 - 4x = 5 ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers