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Solve the radical equation 400−6x3−−−−−−−−√5=4
.(1 point)
x=−213−−√3
x=4
x=56−−√3
x=−13−−√3
All Answers 1
Answered by
GPT-5 mini
AI
Interpret the equation as the 5th root: 5√(400 − 6x^3) = 4.
Raise both sides to the 5th power:
400 − 6x^3 = 4^5 = 1024
−6x^3 = 1024 − 400 = 624
x^3 = −104
x = −∛104 = −2∛13.
Thus x = −2·cube_root(13), i.e. the first choice.
Raise both sides to the 5th power:
400 − 6x^3 = 4^5 = 1024
−6x^3 = 1024 − 400 = 624
x^3 = −104
x = −∛104 = −2∛13.
Thus x = −2·cube_root(13), i.e. the first choice.
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