GoldRush18
  • GoldRush18
The roots of the equation x^2+4x+1=0 are alpha and beta. Without solving the equation
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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GoldRush18
  • GoldRush18
i. state the values of \[\alpha+ \beta and \alpha \beta\]
GoldRush18
  • GoldRush18
ii. find the value of\[\alpha^2+\beta^2\]
GoldRush18
  • GoldRush18
iii. find the equation whose roots are \[1 + 1 \div \alpha and 1+1 \div \beta\]

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maheshmeghwal9
  • maheshmeghwal9
\[\alpha+\beta=-b/a=-4/1\]
maheshmeghwal9
  • maheshmeghwal9
\[\alpha \beta=c/a=1/1=1.\]
maheshmeghwal9
  • maheshmeghwal9
\[\alpha^2+\beta^2=(\alpha+\beta)^2-2\alpha \beta\] put the values
GoldRush18
  • GoldRush18
ok
GoldRush18
  • GoldRush18
how do i go about doing the third part
maheshmeghwal9
  • maheshmeghwal9
u put the roots as\[x^2-(\gamma+\delta)x+\gamma \delta=0\] where \[\delta and \gamma\] are the 3rd part's roots.
GoldRush18
  • GoldRush18
im a bit confused
maheshmeghwal9
  • maheshmeghwal9
what type of conf.
GoldRush18
  • GoldRush18
oh now i go about the third part that says find the equation because im trying to do it but not sure if its correct can i tell u the answer what i get when im finished

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