if one of the zeroes of the polynomial 3x²-8x+2k+1 is 7 times the other, find the zeroes and the value of k
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3x ^ 2 - 8x + 2k + 1a = 3 , b = - 8, c = 2k + 1
suppose the zeroes of the equation are a and B. by the given condition alpha = 7beta as we know, a+B=-b/a
7beta + beta = - (- 8) / 3
8beta = 8/3
B=8/3x1/8=1/3
aß=c/a
7beta * beta = 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
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