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general maths 👍👍👍?

solve the equation

0=0.1t^4-3.2t^1.5

find the value of t

3 Answers

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  • alex
    Lv 7
    1 year ago

    t^4 - 32t^1.5 = 0

    t^1.5(t^2.5 - 32) = 0 ---> t = 0 or t = 32^0.4 = 4

  • 1 year ago

    0 = 0.1t^4 - 3.2t^1.5 

    multiply by 10 to get

    t^4 - 32t^1.5 = 0

    simplify

    t^4 = 32t^1.5

    ( t^4 )² = ( 32t^1.5 )²

    t⁸ = 1024t³

    t⁸ - 1024t³ = 0

    t³ ( t⁵ - 1024 ) = 0

    t = 0

    t⁵ = 1024 ====> t = 4

    t = 0 and t = 4

  • 1 year ago

    Did you try an online solver?

    0 = t^1.5 * (0.1t^2.5 - 3.2)

    t = 0 or t = 32^(1/2.5) = 32^(2/5) = 4

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