Ask Question
24 December, 12:23

When completing the square, what factor must be added to the quadratic equation 2x2 + 3x - 3 = 0 to solve it?

+4
Answers (1)
  1. 24 December, 12:44
    0
    x = sqrt (33) / 4 - 3/4 or x = - 3/4 - sqrt (33) / 4

    Step-by-step explanation:

    Solve for x over the real numbers:

    2 x^2 + 3 x - 3 = 0

    Divide both sides by 2:

    x^2 + (3 x) / 2 - 3/2 = 0

    Add 3/2 to both sides:

    x^2 + (3 x) / 2 = 3/2

    Add 9/16 to both sides:

    x^2 + (3 x) / 2 + 9/16 = 33/16

    Write the left hand side as a square:

    (x + 3/4) ^2 = 33/16

    Take the square root of both sides:

    x + 3/4 = sqrt (33) / 4 or x + 3/4 = - sqrt (33) / 4

    Subtract 3/4 from both sides:

    x = sqrt (33) / 4 - 3/4 or x + 3/4 = - sqrt (33) / 4

    Subtract 3/4 from both sides:

    Answer: x = sqrt (33) / 4 - 3/4 or x = - 3/4 - sqrt (33) / 4
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “When completing the square, what factor must be added to the quadratic equation 2x2 + 3x - 3 = 0 to solve it? ...” 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