Algebramedium · Past Paper

The quadratic equation whose one root is 2 + √3 is:

Ax^2 - 4x + 1 = 0
Bx^2 + 4x + 1 = 0
Cx^2 - 4x - 1 = 0
Dx^2 + 4x - 1 = 0

✓ Correct Answer: Ax^2 - 4x + 1 = 0

Irrational roots occur in pairs. Roots are 2+√3, 2-√3. Sum=4, Product=(4-3)=1. x^2-4x+1=0.

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