Question

sum of two number is-10 if one of the number is-5/9 what will be the other number
​

Answer 1

Answer:

10th

Maths

Quadratic Equations

Solutions of Quadratic Equations

The sum of two numbers is 9...

MATHS

avatar

Asked on November 22, 2019 by

Arthi Santhanam

The sum of two numbers is 9. The sum of their reciprocals is 1/2. Find the sum of squares of the numbers.

MEDIUM

Share

Study later

ANSWER

⇒ 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

1

⇒

9x−x

2

9

=

2

1

⇒ 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

Answer 2

-95/9...............