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c and d are the roots of the equation x2 + ax + b, a and b are the roots of the equation x2 + cx+ d, what is the value of |a + b + c + d|. (b  0, d  0)
Correct answer is '2'. Can you explain this answer?
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c and d are the roots of the equation x2 + ax + b, a and b are the roo...
c and d are the roots of the equation x2 + ax + b
c + d = -a ...(i)
cd = b ...(ii)
Similarly, a and b are the roots of the equation x2 + cx + d
a + b = - c ... (iii)
ab = d ...(iv)
From equation (i) and (iii) - a - b + d = - a
So b = d
Putting this value of b = d in equation (ii) and (iv), we get a = c = 1
From, equation (i) and (iii) b = d = - ( a + c) = - 2
a + b + c + d = 1 + 1 + (-2 ) + (-2 ) = - 2 Answer: 2
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c and d are the roots of the equation x2 + ax + b, a and b are the roots of the equation x2 + cx+ d, what is the value of |a + b + c + d|. (b 0, d 0)Correct answer is '2'. Can you explain this answer?
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