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Solve it of u can nd don't solve if u can'tFind the value of m if √3-m is a zero of the polynomial 2x^2-2√3

Answer»

The ANSWER is GIVEN below :

The given polynomial is

= 2x² - 2√3

Since, (√3 - m) is a zero of the above polynomial, when the polynomial be satisfied with the value X = (√3 - m), we will GET

2(√3 - m)² - 2√3 = 0

⇒ 2(√3 - m)² = 2√3

⇒ (√3 - m)² = √3

⇒ √3 - m = ± {√(√3)}

⇒ m = √3 ± {√(√3)}

THUS, the values of m are

√3 + {√(√3)} and √3 - {√(√3)}.

ANOTHER ANSWER :

The given polynomial is

= 2x² - 2√3

Since, √(3 - m) is a zero of the above polynomial, when the polynomial be satisfied with the value x = √(3 - m), we will get

2{√(3 - m)}² - 2√3 = 0

⇒ 2{√(3 - m)}² = 2√3

⇒ {√(3 - m)}² = √3

⇒ 3 - m = √3

⇒ m = 3 - √3

Thus, the values of m is
(3 - √3).

Thank you for your question.


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