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If and are the roots of the equation a x^2+b x+c=0 , where a 0 , then (a +b)(a +b) is equal to:

Options

  1. Aa b
  2. Bb c
  3. Cc a
  4. Da b c

Correct answer

C. c a

Step-by-step solution

, are the roots of the given equation a x^2+b x+c=0 Sum of roots = + =- b a and product of the roots = = c a Now, value of (a +b)(a +b)=a^2 +a b +a b +b^2=a^2( )+a b( + )+b^2=a^2 ( c a )+a b (- b a )+b^2=a c-b^2+b^2=a c .

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