The square root of the sum of a number and 1 is equal to twice the square root of 3. (radical equations)

The square root of the sum of a number and 1 is equal to twice the square root of 3. (radical equations)

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1 thought on “The square root of the sum of a number and 1 is equal to twice the square root of 3. (radical equations)”

  1. Answer:

    Let the number be x. The problem is represented by the equation below:

    2√(x+3) = 2x

    Square both sides:

    4(x+3) = 4x²

    Divide through by 4

    x+3 = x²

    x²-x-3 = 0

    Solve the quadratic equation using the quadratic formula

    x = (1+√13)/2 or (1-√13)/2

    A quick check shows the latter does not satisfy the original equation so

    x = (1+√13)/2

    Reply

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