Math, asked by anshul5642, 6 months ago

find guadratic Polinomial of sum and product of zeroes are o and root 5 is respectiuly.​

Answers

Answered by Anonymous
5

Answer:

Sol : α, β are zeros of the quadratic polynomial then sum and product of whose zeroes are 0 and √5 respectively. ∴ α + β = 0 αβ = √5. α, β are zeros of the quadratic polynomial then the equation is x2 -(α + β)x + αβ = 0 x2 -0x + √5 = 0 ⇒ x2 + √5 = 0

Answered by anjukrishusachin
1

Step-by-step explanation:

Let,

 \alpha  \: and \:  \beta  \: are \: two \: zeros \: of \: the \: polynomial \:  \\ so \: sum \: of \: zeros = 0 \: and \: product \: of \: zeros =  \sqrt{5}  \\  \alpha  +  \beta  = 0 \\ and \:  \alpha  \beta  =  \sqrt{5}  \\ quadratic \: polynomial \:  =  {x}^{2}  - ( \alpha  +  \beta )x +  \alpha  \beta  \\  =  {x}^{2}  - 0x +  \sqrt{5}   \\  =  {x}^{2}  +  \sqrt{5}  \\ here \: you \: are. \\  \\

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