TS EAMCET · Maths · Quadratic Equation
The equation of lowest degree with rational coefficients having roots \(\sqrt{3}+\sqrt{2} i\) and \(\sqrt{3}-\sqrt{2}\) is
- A \(\left(x^4-2 x^2+25\right)\left(x^4-10 x^2+1\right)=0\)
- B \(\left(x^2-2 \sqrt{3} x+5\right)\left(x^2-2 \sqrt{3} x+1\right)=0\)
- C \(\left(x^4-2 x^2+25\right)\left(x^4+10 x^2+1\right)=0\)
- D \(\left(x^4-10 x^2+1\right)\left(x^4+2 x^2+25\right)=0\)
Answer & Solution
Correct Answer
(A) \(\left(x^4-2 x^2+25\right)\left(x^4-10 x^2+1\right)=0\)
Step-by-step Solution
Detailed explanation
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