Math, asked by soumyadhruw28, 1 month ago

Construct a quadric equation whose roots are 3 and -8.​

Answers

Answered by Anonymous
68

\huge{\underbrace{\sf{QuesTion:}}}

Construct a quadratic equation whose roots are 3 and -8.

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\huge{\underbrace{\sf{AnsWer:}}}

 \alpha  = 3 \\  \beta  =  - 8 \\ Sum  \: of  \: the \: roots= \alpha + \beta\\ ==>3+(-8)==> - 5 \\Product \: of \: the \: roots= \alpha  \beta  \\  =  =  > 3 \times (-8) \\ ==> - 24 \\  \\ Quadratic \: equation \\ ==>x²-( \alpha + \beta )x+( \alpha  \beta ) \\   Required\: equation : \\  =  =  >  {x}^{2}  - ( - 5)x + ( - 24) \\  =  =  >  {x}^{2}  + 5x - 24

Therefore, the required equation = + 5x - 24.

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Answered by Anonymous
5

24 + 5x + 4 maybe will be d answer !!!!!!

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