3 years ago

Sum10and product of 9

1 answer:

6 0

Answer:

$x+ y = 10 ---(1)\\ x\cdot y = 9 ---(2)\\\\from(2) \ y = \frac{9}{x}\\\\substitute \ y \ in (1) \\x + \frac{9}{x} = 10\\\\x^2 + 9 - 10x = 0\\x^2 -10x + 9 = 0\\x^2 -9x -x +9 = 0\\x(x-9)-1(x-9)=0\\(x-1)(x-9)=0\\x = 1 \ or \ 9\\$

substitute x in y = 9/x

=> y = 9 or 1

So the number are 1 and 9 or 9 and 1

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Sum10and product of 9​

Sum10and product of 9