Ask Question
25 July, 23:32

Use algebraic strategies to solve √2x+3=x. How many solutions did you come up with? Which strategies did you use?

+3
Answers (1)
  1. 26 July, 02:26
    0
    x=-1, 3

    2 solutions, strategies=quadratic formula

    Step-by-step explanation:

    1. square the whole equation

    (√2x+3) ² = (x) ²

    2x+3=x²

    since it becomes a quadratic equation, take all terms on one side = to 0

    x²-2x-3=0

    Use the quadratic formula, because the equation cannot be factored.

    x = (-b±√b²-4ac) / 2a

    x = ( - (-2) ±√4-4*1*-3) / 2*1

    x = (2±√4+12) / 2

    x = (2±√16) / 2

    x = (2±4) / 2

    x=1±2

    x=1+2, 1-2

    ∴x=-1, 3
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “Use algebraic strategies to solve √2x+3=x. How many solutions did you come up with? Which strategies did you use? ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers