AP EAMCET202018 Sep 2020Morning ShiftMathematicsQuadratic EquationActual

Number of roots common to the equations (x^3+x^2-2 x-2=0 ) and (x^3-x^2-2 x+2=0 ) is

Options

Correct answer

B. 2

Step-by-step solution

Let (x ) is the common root of the equations (x^3+x^2-2 x-2=0 and x^3-x^2-2 x+2=0 ) So, ( ) will satisfy both the equations ( array ll Now, & ^3+ ^2-2 -2=0 and & ^3- ^2-2 +2=0 array ) On subtraction, we get (2 ^2-2=0 = 1. ) So, there are 2 common roots.

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