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Kelly B.
Kelly B. asked in Science & MathematicsMathematics · 9 years ago

Square root equation question?

Square root of (x+5)- 2 = square root of x-3

Answer is x=4. I don't know the steps to solve it

2 Answers

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  • Fahad
    9 years ago
    Favorite Answer

    square both sides as follow :

    [ SQRT (x + 5 ) - 2 ]^2 = ( x - 3 ) ^2 after squaring them you get

    x + 5 - 4 SQRT ( X + 5 ) + 4 = X - 3 rearrange the equation by isolating the square root in left side and the rest in the right side you get

    - 4 SQRT (X + 5 ) = -12 divide both sides by - 4

    SQRT ( x + 5 ) = 3 square both sides again you get

    x +5 = 9 simply solve this problem you get

    x = 4

    hope that helped

    ( BTW SQRT means square root of )

  • Matt
    Lv 5
    9 years ago

    √(x + 5) - 2 = √(x - 3)

    (√(x + 5) - 2)² = √(x - 3)²

    x + 5 - 4√(x + 5) + 4 = x - 3

    9 - 4√(x + 5) = -3

    √(x + 5) = 3

    √(x + 5)² = 3²

    x + 5 = 9

    x = 4

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