anonymous
  • anonymous
solve for t : t^6+4t^3=45
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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Akshay_Budhkar
  • Akshay_Budhkar
let\[t^3=u\] it converts into an easy solving quadratic equation
anonymous
  • anonymous
start with \[t^6+4t^3-45=0\] then factor. if it is not clear how to factor write as \[x^2+4x-45=0\] and factor that
Akshay_Budhkar
  • Akshay_Budhkar
\[u^2+4u-45=0\]

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Akshay_Budhkar
  • Akshay_Budhkar
Can u do from here?
anonymous
  • anonymous
can you help still from this point?
Akshay_Budhkar
  • Akshay_Budhkar
sure\[\begin{array} \\u^2+9u-5u-45=0 \\ \therefore u(u+9)-5(u+9)=0 \\ \therefore (u-5)(u+9)=0\\ u=5 or u= -9 \\ \therefore t^3=5 or t^3=-9 \end {array}\]
anonymous
  • anonymous
thank you!!! this helped a lot!
Akshay_Budhkar
  • Akshay_Budhkar
Yw :D
anonymous
  • anonymous
wait so is the answer 5 or -9 or is it something else too?

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