Question

The quadratic equation whose roots one root is 3+2√3 is ?

Answer 1

Given: One root 3+2√3

To find: The equation?

Solution:

• Now we have given the root of unknown equation as 3+2√3.

• So x = 3+2√3

                 x - 3 = 2√3

• Squaring on both sides, we get:

                 (x - 3)^2 = (2√3)^2

                 x^2 + 9 - 6x = 12

                 x^2 + 9 - 6x - 12 = 0

                 x^2 - 6x - 3 = 0

Answer:

           So the equation  whose one root is 3+2√3 is x^2 - 6x - 3 = 0

Answer 2

Given:

One root 3+2√3

To find:

The equation?

Solution:

Now we have given the root of unknown equation as 3+2√3.

So x = 3+2√3

                x - 3 = 2√3

Squaring on both sides, we get:

                (x - 3)^2 = (2√3)^2

                x^2 + 9 - 6x = 12

                x^2 + 9 - 6x - 12 = 0

                x^2 - 6x - 3 = 0

Answer:

So the equation  whose one root is 3+2√3 is x^2 - 6x - 3 = 0

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