Ask Question
2 June, 20:19

Complete the square to solve the equation below x^2 + 10x - 13 = 17

+2
Answers (2)
  1. 2 June, 20:41
    0
    See below in exact form

    or

    2.42, - 12.42 to the nearest hundredth.

    Step-by-step explanation:

    x^2 + 10x - 13 = 17

    (x + 5) ^2 - 25 - 13 = 17

    (x + 5) ^2 = 17 + 38 = 55

    x + 5 = + / - √55

    x = - 5 + √55, - 5 - √55.
  2. 2 June, 20:43
    0
    x = - 12.42 or x = 2.42

    Step-by-step explanation:

    x^2 + 10x - 13 = 17

    To solve this using the completing the square method, we will follow the steps below;

    First, we will add 13 to both side of the equation, we want only the x variable to be on the left-hand side of the equation

    x^2 + 10x - 13 + 13 = 17 + 13

    x^2 + 10x = 30

    The next step is to add both-side of the equation by square of half of the coefficient of x (that is; half of 10 is 5, then we will add 5² to both-side of the equation)

    x^2 + 10x + 5² = 30 + 5²

    Then we can now factorize the left-hand side of the equation and at the same time simplify the right-hand side of the equation

    (x + 5) ² = 30 + 25

    (x + 5) ² = 55

    We will then take the square root of both-side of the equation

    √ (x + 5) ² = ±√55

    x + 5 = ±√55

    To get the value of x, we will subtract 5 from both-side of the equation

    x + 5 - 5 = ±√55 - 5

    x = ±√55 - 5

    Either x = + √55 - 5 = 7.42 - 5 = 2.42

    OR

    x = - √55 - 5 = - 7.42 - 5 = - 12.42

    Therefore either x = - 12.42 or x = 2.42

    x = - 12.42 or 2.42
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “Complete the square to solve the equation below x^2 + 10x - 13 = 17 ...” 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