Question

X2 + (a/a+b +a+b/a)x+1=0 solve by factorisation

Answer 1

Answer:

Step-by-step explanation:

Let --> y = ( a / ( a + b ) ) ;

--> x² + [ y + 1/y ]x + 1 = 0

=> y.x² + [ y² + 1 ] x + y = 0

=> y.x² + y²x + x + y = 0

=> [ y.x + 1 ][ x + y ] = 0

=> x = [ - 1 / y ]  || x = - y

=> x = [ ( - a - b ) / a ] || x = [ -a / ( a + b ) ]

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