Question

The quadratic equation having roots (2 + V3) and (2-13) will be:​

Answer 1

Given roots

(2 + √3), (2 - √3)

We know that a quadratic equation is given as

k(x² - (sum of roots)x + product of roots)

Here, sum of roots = (2 + √3) + (2 - √3) = 4

Product of roots = (2 + √3)(2 - √3) = (2)² - (√3)² = 4 - 3 = 1

So, quadratic equation would be of the form of

k(x² - 4x + 1)

For k = 1, we get quadratic equation

x² - 4x + 1

Answer 2

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QUESTION :

The quadratic equation having roots (2 + V3) and (2 - √ + 3) will be:

SOLUTION :

Roots of the quadratic Equation are :

2 + √3 and 2 - √3

Sum of roots : 4

Product of roots = 1

Quadratic Equation :

X^2 - ( Sum of roots ) + ( Product of roots )

=> X^2 - 4x + 1 = 0