Question

write the quadratic eq, if α+β = 9 and αβ=20.

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Answer 1

༄༄Answer༄༄

Given,

α+β = 9 and αβ=20.

we know that

x²- (α+β) + αβ

x²- (9) + 20

x²- 9 + 20 Ans

Answer 2

Answer:

a^2+b^2-41=0

Step-by-step explanation:

a+b=9     ab=20 -> a=20/b

(a+b)^2=9^2(squaring on both sides)

a^2+b^2+2ab=81

a^2+b^2+2(20)=81

a^2+b^2+40=81

a^2+b^2=81-40

a^2+b^2=41

(20/b)^2+b^2=41

400/b^2+b^2=41

(400+b^4)/b^2=41

400+b^4=41b^2

b^4-41b^2+400=0