Question

x^2-2√3x-1=0find the nature of the roots of the following quadratic equations​

Answer 1

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Answer 2

Answer:

☆☆☆ GIVEN QUADRATIC EQUATION ☆☆☆ :–

${x}^{2} - 2 \sqrt{3} x - 1 = 0$

• TO FIND THE NATURE OF THE ROOTS WE NEED TO CALCULATE THE DISCRIMINATE.

1. IF D > 0 , THEN ROOTS ARE REAL AND DIFFERENT.
2. IF D = 0 , THEN ROOTS ARE REAL AND SAME.
3. IF D < 0 , THEN ROOTS ARE IMAGINARY.

WE KNOW THAT D = b² - 4ac . So,

$d = {( - 2 \sqrt{3} )}^{2} - 4( - 1)(1)$

$d = 12 + 4 = 16 > 0$

SO THE ROOTS ARE REAL AND DIFFERENT.

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