precalculus

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1. Express (3x)^(1/5)(3x^2)^(1/3) using radicals

2. Simplify (8x^6 times 32y^5)^(1/2)

3. Approximate the real zeros of f(x)= 2x^4 + 3x^2 - 20.

  • precalculus -

    Let u = x^2 and solve
    2u^2 -3u -20 = 0

    That can be factored, to give
    (2u +5)(u-4) = 0
    u = 4 OR -5/2
    x = sqrt4 or sqrt(-3/2)

    The only REAL zeros are +2 and -2

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