Math, asked by aliyakhan33014, 2 months ago

(c) The sum of two positive number is 9 and
the sum of the squares is 45. Find the
numbers.​

Answers

Answered by iqramadiha1
0

Answer:

3 and 6

Step-by-step explanation:

3 + 6 = 9

3'2 + 6'2 = 45

Answered by fayaaz1805
0

Answer:

Step-by-step explanation:

Let the numbers be x and y respectively

According to the question,

x + y = 9 ⇒ y = 9-x ⇒eqn. 1

(x)² + (y)² = 45

x² + (9-x)² = 45

x² +81 +x² - 18x = 45

2x² -18x +81 - 45 = 0

2x² -18x +36 = 0

Dividing the equation by 2,

x² - 9x +18 = 0

By factoring method,

x² -6x -3x +18 =0

x(x-6) -3(x-6) = 0

(x-6)(x-3) = 0

x-6 = 0, x-3 = 0

x=6 and x =3

Therefore, The two numbers are 6 and 3

Verification,

6 + 3 = 9

(6)² + (3²) = 36 +9 = 45

Similar questions