Question

if α and β are the zeroes of the quadratic polynomial f(x)= x²-5x+6 then find the value of 1/α+1/β-αβ

Answer 1

Answer:

α+β = -b/a = -(-5)/1 = 5

αβ= c/a = 6/1 = 6

then α = 6/β

putting this value....

6/β +β = 5

β^2 -5β+6 =β^2 -6β+β+6 = β(β-6)+1(β+6)

(β+1)(β-6)

5then β = -1,6

if let β = -1

then α = 5-β = 5+1 =6

hence....

1/6 + 1/-1 - (6×-1) = 1/6 -1 +6 = (1-6+36)/6= 31/6 answer

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hope it helps you..... BRAINLIEST