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The roots of 7x^2 + x - 5 = 0 are a and b. Compute (a + 4)(b + 4)/(ab).

 Dec 13, 2021
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7x^2 + x - 5 = 0

a+b = -1/7, ab = -5/7

(a+4)(b+4) = 4(a+b) + ab + 16 = 4(-1/7)+(-5/7)+16 = 16 - 9/7 = 103/7

(a + 4)(b + 4)/(ab) = (103/7)/(-5/7) = -103/5

 Dec 15, 2021

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