Question

please someone solve this problem

Answer 1

$\purple{ {x}^{2} + ( \frac{a}{a + b} + \frac{a + b}{a} )x + 1 = 0} \\ \blue{ {x}^{2} + \frac{a}{a + b} x + \frac{a + b}{a}x + \frac{a}{a + b} \times \frac{a + b}{a} = 0} \\ \green{ x(x + \frac{a}{a + b} ) + \frac{a + b}{a} (x + \frac{a}{a + b} ) = 0} \\ \orange{(x + \frac{a}{a + b} )( x + \frac{a + b}{a}) = 0 } \\ \red{x = - \frac{a}{a + b} } \: and \: \red{ - \frac{a + b}{a} }$
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