Math, asked by mohith0409, 1 year ago

The equation whose roots are 2,3±5 is?

Answers

Answered by BrutalLegends
1

let \:  \alpha  = 2 \:  \:  \: and \:  \:  \:  \:  \beta  = 8 \\

 \alpha  +  \beta  = 2 + 8  \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: 10 \\  \alpha  \times  \beta  = 2 \times 8 \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  16 \\ x {}^{2}  + ( \alpha  +  \beta )x +  \alpha  \times  \beta  = 0 \\  {x }^{2}  + 10x + 16 = 0

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