Question

the sum of the 2 numbers is 9 and the sum of their reciprocal is 1/2.frame the quadratic equation​

Answer 1

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Answer 2

thanks mate!!

⇒ Let one number be x, then other number will be 9−x

According to the question,

⇒

x

1

+

9−x

1

=

2

1

⇒

x(9−x)

9−x+x = 2 ⇒ 9x−x 29= 21⇒ 2(9)=9x−x

2

⇒ 18−=9x−x

2

⇒ x

2

−9x+18=0

⇒ x

2

−6x−3x+18=0

⇒ x(x−6)−3(x−6)=0$

⇒ (x−6)(x−3)=0

⇒ x−6=0 and x−3=0

∴ x=6 and x=3

⇒ One number is 6 and other number is 3

⇒ The sum of squares of the numbers =(6)

2

+(3)

2

=36+9=45