Math, asked by gudalapadmajark, 7 months ago

Find the zeros of quadratic polynominal x^2+9-6x.​

Answers

Answered by yadavbrandshubhambha
1

Answer:

Step-by-step explanation:

1 is correct answer

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Answered by sethrollins13
64

Given :

  • A polynomial x²+9-6x .

To Find :

  • Zeroes of the given polynomial .

Solution :

\longmapsto\tt\bf{{x}^{2}-6x+9}

By Splitting Middle Term :

\longmapsto\tt{{x}^{2}-(3x+3x)+9}

\longmapsto\tt{{x}^{2}-3x-3x+9}

\longmapsto\tt{x(x-3)-3(x-3)}

\longmapsto\tt\bf{(x-3)\:(x-3)}

  • x = 3
  • x = 3

_______________________

Here :

  • a = 1
  • b = 6
  • c = 9

Sum of Zeroes :

\longmapsto\tt{\alpha+\beta=\dfrac{-b}{a}}

\longmapsto\tt{3+3=\dfrac{-(-6)}{1}}

\longmapsto\tt\bf{6=6}

Product of Zeroes :

\longmapsto\tt{\alpha\beta=\dfrac{c}{a}}

\longmapsto\tt{3\times{3}=\dfrac{9}{1}}

\longmapsto\tt\bf{9=9}

HENCE VERIFIED

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