Question

if x-3and x-1/3 are both factor of ax*2 + 5 x + b show that a =b​

Answer 1

Hyy Dude

Ax²+5x+b = 0

(x–3)(x–⅓) = x²–(3+⅓)x+1

= x²–(10/3)x+1

x²–(10/3)x+1 = 0

Sum of roots = –5/a = 10/3

a = –5×(3/10) = –3/2

Product of roots = b/a = 1

a = b

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