MCQ
A quadratic equation whose roots are $2+\sqrt{3}$ and $2-\sqrt{3}$ is
- ✓$x^2-4 x+1=0$
- B$x^2+4 x+1=0$
- C$4 x^2-3=0$
- D$x^2-1=0$
✓
Answer
Correct option: A.
$x^2-4 x+1=0$
(A)$x^2-4 x+1=0$
The quadratic equation whose roots are $\alpha=2+\sqrt{3}$ and $\beta=2-\sqrt{3}$ is $x^2-(\alpha+\beta) x+\alpha \beta=0$ or, $x^2-4 x+1=0$
The quadratic equation whose roots are $\alpha=2+\sqrt{3}$ and $\beta=2-\sqrt{3}$ is $x^2-(\alpha+\beta) x+\alpha \beta=0$ or, $x^2-4 x+1=0$
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