If one zero of the polynomial x2-4x-1 is 2-3 - write the other zero-

Whenever one of the zeroes of a quadratic equation is p + √(q), the other zero must be p √(q). In this case, p = 2 and q = 3. So, the other zero will bep √( ...

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Standard X

Mathematics

Roots of a Quadratic Equation

If one zero o...

Question

If one zero of the polynomial $x^{2} - 4 x + 1$ is $(2 + \sqrt{3})$ , write the other zero.

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Solution

Whenever one of the zeroes of a quadratic equation is $p + \sqrt{q}$ , the other zero must be $p - \sqrt{q}$ . In this case, p = 2 and q = 3. So, the other zero will be $p - \sqrt{q} = 2 - \sqrt{3}$

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If one zero of the polynomial x2−4x+1 is (2+√3) , write the other zero.

Whenever one of the zeroes of a quadratic equation is p+√q, the other zero must be p−√q. In this case, p = 2 and q = 3. So, the other zero will bep−√q=2−√3

If one zero of the polynomial $x^{2} - 4 x + 1$ is $(2 + \sqrt{3})$ , write the other zero.

Whenever one of the zeroes of a quadratic equation is $p + \sqrt{q}$ , the other zero must be $p - \sqrt{q}$ . In this case, p = 2 and q = 3. So, the other zero will be $p - \sqrt{q} = 2 - \sqrt{3}$