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What value of n will the roots of 4x^2 - 8x + n = 0 be in the ratio 1:3?

Science & Mathematics by Anonymous 2018-07-18 02:04:16

Social Science

What value of n will the roots of 4x^2 - 8x + n = 0 be in the ratio 1:3?

1 answer

Please help, I know it has something to do with r1 and 3r2 r1 and r2 being the roots

  • Anonymous

    r1 and 3r1 sum = r1 + 3r1 = 8/4=2 ---> r1=1/2 , r2=3/2 Product = n/4 = (1/2)(3/2)=3/4 --->n=3

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