ab=84,a-b=5 what is the value of a and b
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(a - b) = 5
a = (b + 5) ---------(1)
ab = 84-------------(2)
put equation (1) in equation (2)
b(b + 5 ) = 84
b² + 5b - 84 = 0
b² + 12b - 7b - 84 = 0
b(b + 12) - 7(b + 12) = 0
(b + 12)(b - 7) = 0
b = -12 and 7
so, a = b + 5 => -7 and 12
hence,
(a , b ) = (-7, -12) or, (7, 12)
a = (b + 5) ---------(1)
ab = 84-------------(2)
put equation (1) in equation (2)
b(b + 5 ) = 84
b² + 5b - 84 = 0
b² + 12b - 7b - 84 = 0
b(b + 12) - 7(b + 12) = 0
(b + 12)(b - 7) = 0
b = -12 and 7
so, a = b + 5 => -7 and 12
hence,
(a , b ) = (-7, -12) or, (7, 12)
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