TS EAMCET · Maths · Quadratic Equation
The product of the real roots of the equation \((x+1)^4+(x+3)^4=8\) is
- A 0
- B 74
- C \(7-2 \sqrt{3}\)
- D \(7+2 \sqrt{3}\)
Answer & Solution
Correct Answer
(C) \(7-2 \sqrt{3}\)
Step-by-step Solution
Detailed explanation
We have, \[ \begin{aligned} & (x+1)^4+(x+3)^4=8 \\ & (x+2-1)^4+(x+2+1)^4=8 \end{aligned} \] put \(x+2=y\)…
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