Question

If one root of a quadratic equation is 2+√3 then what will be the other root

Answer 1

If one root of a quadratic equation is 2+√3 . Then other zero will be 2-√3.

Answer 2

Quadratic equation of root is, $x^{2} -4x+1=0$.

What is quadratic equation?

• A quadratic equation in math is a second-degree equation of the form ax² + bx + c = 0.

• Here a, b, are the coefficients, c is the constant term, and x is the variable.

• Since the variable x is of the second degree, there are two roots or answers for this quadratic equation.

• The roots of the quadratic equation can be found by either solving by factorizing or through the use of the quadratic formula.

For the quadratic equation if one root is $2+\sqrt{3}$

Other root is $2-\sqrt{3}$

​Sum of roots $= 2+\sqrt{3} +2-\sqrt{3} =4$

$Product of roots =(2+\sqrt{3}) (2-\sqrt{3})\\ \\= 4-3\\=1$

Hence, Quadratic equation is $x^{2} -4x+1=0$

Learn more about quadratic equation here,

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