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A certain number is the same as the cube root of 16 times the number. What is the number? A. Write into mathematical equation. B. Solve the problem C. Check your solution
Please help me guys :(

Sagot :

the equation is 3=16x expand it, x3 = 4(4)(x) so this is (x)(x)(x)=(4)(4)(x) you can now easily get the answer. the answer is x=4
x=4 check it.
(4)cube= 16(4)
68=68
[tex]x = \sqrt[3]{16x} \\ x^{3} = 16x \\ x^{3} - 16x = 0 \\ x(x^{2} - 16) = 0 \\ x = 0 \\ x = 4 \\ x = -4 \\ it is either 4 or 0[/tex]