Math, asked by avanidiwakar, 7 months ago

find a uqadratic polynomial, whose sum and product of itc zeros are 1/4 and -1 respctively​

Answers

Answered by aryan073
1

Step-by-step explanation:

the \: answer \: will \: be \:  \:

 {x}^{2}  - ( \alpha  +  \beta )x +  \alpha  \beta  = 0

 {x}^{2}  - ( \frac{1}{4}  - 1)x + ( \frac{1}{ 4} ) \times  - 1

 {x}^{2}  +  \frac{3}{4} x -  \frac{1}{4}

 {x}^{2}  +  \frac{3x - 1}{4}  = 0

 { 4x}^{2}  + 3x - 1 = 0 \: is \: the \: answer

 \boxed{ \sf{ {4x}^{2}  + 3x - 1 = 0}}

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