The sum of two numbers as well as the difference between their square is 9 find them
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The numbers are 5 and 4
Their sum is 9
and difference of 5sq. - 4sq. =9
Mark.me brainliest
Their sum is 9
and difference of 5sq. - 4sq. =9
Mark.me brainliest
Answered by
0
Let one number be a and next number be b
We know that,
a+b= 9-------(1)
a²-b²= 9
As a²-b²= (a+b)(a-b)
So, (a+b)(a-b)= 9
But a+b= 9
(9)(a-b)= 9
a-b= 1-------(2)
Adding (1) and (2),
a+b+a-b= 9+1
2a= 10
a= 5
b= 9-5= 4
Hope it helps! Please mark it as 'Brainliest'!
We know that,
a+b= 9-------(1)
a²-b²= 9
As a²-b²= (a+b)(a-b)
So, (a+b)(a-b)= 9
But a+b= 9
(9)(a-b)= 9
a-b= 1-------(2)
Adding (1) and (2),
a+b+a-b= 9+1
2a= 10
a= 5
b= 9-5= 4
Hope it helps! Please mark it as 'Brainliest'!
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