Hjohn22
Hjohn22 Hjohn22
  • 18-09-2019
  • Mathematics
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Solve the equation after making the appropriate substitution. Need help!

Solve the equation after making the appropriate substitution Need help class=

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luchoprat
luchoprat luchoprat
  • 18-09-2019

Answer:

Step-by-step explanation:

First realize that

[tex](x^{1/3})^{2}=x^{2/3}[/tex]

Usually when you are asked to solve making a substitution you need to find substitute a term leaving a quadratic equation.

if you replace:

[tex]x^{1/3}=u[/tex]

[tex]u^{2}-3u-18 = 0 \\(u-6)(u+3)= 0 \\u = 6 \\u = -3 \\x^{1/3} = 6 => x = 6^{3} = 216\\x^{1/3} = -3 => x = (-3)^{3} = -27[/tex]

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