(c) The sum of two positive number is 9 and
the sum of the squares is 45. Find the
numbers.
Answers
Answered by
0
Answer:
3 and 6
Step-by-step explanation:
3 + 6 = 9
3'2 + 6'2 = 45
Answered by
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
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