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AP EAMCET202316 May 2023Morning ShiftMathematicsQuadratic EquationActual

If and are the roots of the equation a^2+b x+c=0 , then the equation whose roots are + and 1 + 1 is

Options

  1. Aa c x^2-(a b+b c) x+b^2=0
  2. Ba c x^2+(a b+b c) x-b^2=0
  3. Ca c x^2+(a b+b c) x+b^2=0
  4. Da c x^2-(a b+b c) x-b^2=0

Correct answer

C. a c x^2+(a b+b c) x+b^2=0

Step-by-step solution

Given : and are roots of the equation a x^2+b x+c=0 + =- b a and = c a 1 + 1 = + = - b a c a =- b c given by (x-( + )) (x- ( 1 + 1 ) )=0 (x+ b a ) (x- (- b c ) )=0 aligned & (a x+b)(c x+b)=0 & a c x^2+b c x+a b x+b^2=0 & a c x^2+x(a b+b c)+b^2=0 . aligned

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