Math, asked by prashantdubey83, 1 year ago

if alpha and beta are zeros of polynomial 6x square - 7 x minus 3 then form a quadratic polynomial whose zeros are 1 upon alpha and one upon beta

Answers

Answered by Anonymous
1

hi \: mate \\  \\  \alpha  +  \beta  = 7 \div 6 \\  \\  \alpha  \beta  =  - 3 \div 6 =  - 1 \div 2 \\  \\ required \: quadratic \: equation \: in \: x \: is \:  \\  \\ x {}^{2}  - (1 \div  \alpha  + 1 \div  \beta )x + ( 1 \div \alpha  \beta ) \\  \\  =  > 1 \div  \alpha   \:  \:  + 1 \div  \beta  \:  \:  \:  =  \alpha  +  \beta  \div  \alpha  \beta  =  - 7 \div 3  \\  \\  \\ 1 \div  \alpha  \times 1 \div  \beta  =  - 2\\  \\  \\ x {}^{2}  - ( - 7 \div 3)x + ( - 2) \\  \\ have \: a \: great \: day
Answered by sarthakjain20
5
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