2 consecutive nos whose product is 60
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Let the two numbers be x & y
Given: xy = 60
x+y = -19
( x + y )^2 = -19^2 = 261
( x - y )^2 = ( x + y )^2 - 4xy
( x - y ) ^2 = 261- 4×60 = 121
x - y = √121 = + 11 or -11
x + y= -19
If x- y is +11
x - y = +11
Answer: 2x = - 8, x = -4 & y = -15
If x - y = -11
Answer: 2x = -30, x = -15 and y = -4
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Answer:
Let the two numbers be x & y
Given: xy = 60
x+y = -19
( x + y )^2 = -19^2 = 261
( x - y )^2 = ( x + y )^2 - 4xy
( x - y ) ^2 = 261- 4×60 = 121
x - y = √121 = + 11 or -11
x + y= -19
If x- y is +11
x - y = +11
Answer: 2x = - 8, x = -4 & y = -15
If x - y = -11
Answer: 2x = -30, x = -15 and y = -4
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