GoldRush18
The roots of the equation x^2+4x+1=0 are alpha and beta. Without solving the equation
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GoldRush18
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i. state the values of \[\alpha+ \beta and \alpha \beta\]
GoldRush18
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ii. find the value of\[\alpha^2+\beta^2\]
GoldRush18
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iii. find the equation whose roots are \[1 + 1 \div \alpha and 1+1 \div \beta\]
maheshmeghwal9
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\[\alpha+\beta=-b/a=-4/1\]
maheshmeghwal9
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\[\alpha \beta=c/a=1/1=1.\]
maheshmeghwal9
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\[\alpha^2+\beta^2=(\alpha+\beta)^2-2\alpha \beta\] put the values
GoldRush18
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ok
GoldRush18
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how do i go about doing the third part
maheshmeghwal9
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u put the roots as\[x^2-(\gamma+\delta)x+\gamma \delta=0\] where \[\delta and \gamma\] are the 3rd part's roots.
GoldRush18
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im a bit confused
maheshmeghwal9
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what type of conf.
GoldRush18
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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