Question

If one zero of polynomial 3x^2-8x+2k+5 is four times the other 4x^2-12x+3k+8.
1. Find the sum of zeros
2.if alpha and beta are the zeros of polynomial , then find the value of alpha​

Answer 1

Step-by-step explanation:

3x²-8x+2k+1 a=3, b=-8 ,c=2k+1

suppose the zeroes of the equation are α and β . by the given condition α=7β

as we know , α+β=-b/a

7β+β=-(-8)/3

8β=8/3

β=8/3×1/8=1/3

αβ=c/a

7β×β=2k+1/3

7×1/3×1/3=2k+1/3

7/9=2k+1/3

21/9=2k+1

21/9-1=2k

12/9=2k

4/3=2k

4/6=k

2/3=k

I hope it's helpful

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Answer 2

k=2/3

HOPE it's help you