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Find the quadratic polynomial, the sum …

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Find the quadratic polynomial, the sum and product of whose zeroes are ¼ and -1/8 respectively.
  • 1 answers

Jhansi Naga Sri 4 years, 3 months ago

Alpha+ Beta =1/4 Alpha×Beta=-1/8 P(x) = x^2-(Alpha+Beta)x+Alpha×Beta=0 x^2-(1/4+ -1/8)x + 1/4× -1/8=0 x^2-1/8x + -1/32=0 32x^2-4x-1/32=0 32x^2-4x-1=0 4(8x^2-x-1) =0 8x^2-x-1=0 So, 8x^2- x- 1 is the required quadratic equation
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