Question

If (a+b,ab)=(4,3),then the value of a and b

Answer 1

HERE IS YOUR ANSWER..⬇⬇

$\underline{SOLUTION}$ ➡


$Given, \: \\ \\ (a + b,ab) = (4,3) \\ \\ \\ So ,\\ \\ a + b = 4\: \: - - - - - - - - > (1) \\ \\ ab = 3 \: \: - - - - - - - - > (2) \\ \\ \\ (1) = > b = 4 - a \: \: - - - - - - - - > (3) \\ \\( 2) = > a(4 - a) = 3 \\ \\ = > 4a - a {}^{2} = 3 \\ \\ = > - a {}^{2} + 4 a - 3 = 0 \\ \\ = > a {}^{2} - 4a + 3 = 0 \\ \\ = > a {}^{2} - 3 a - a + 3 = 0 \\ \\ = > a(a - 3) - 1(a - 3) = 0 \\ \\ = > (a - 1)(a - 3) = 0 \\ \\ \\ \\ Now, \\ \\ a - 1 = 0 \\ \\ = > a = 1 \\ \\ Or ,\\ \\ a - 3 = 0 \\ \\ = > a = 3 \\ \\ If \: \: \: \: \: a = 1 \\ \\ Then, \\ \\ (3) = > b = 4 - 1) \\ \\ = > b = 3 \\ \\ \\ Or, \\ \\ If \: \: \: \: \: \: a = 3 \\ \\ Then, \\ \\ (3) = > b = 4 - 3 \\ \\ = > b = 1$

$So \: \: \\ \\ Value \: \: of \: \: \: a \: = 1,3 \: \:and \: \:b = 3,1$


$\underline{ANSWER}$ ➡


a = 1 , 3

b = 3 , 1



✝✝..HOPE IT HELPS YOU..✝✝