Question

Find the quadratic polynomial whose zeroes are 5-3√2 and 5+3√2.

Answer 1

$\textbf{Given zeros are }$

$5+3\sqrt{2}\;\text{and}\;5-3\sqrt{2}$

$\textbf{Sum of the zeros:}$

$=5+3\sqrt{2}+5-3\sqrt{2}$

$=10$

$\textbf{Product of the zeros:}$

$=(5+3\sqrt{2})(5-3\sqrt{2})$

$=5^2-(3\sqrt{2})^2$

$=25-18$

$=7$

$\text{The required quadratic polynomial is}$

$x^2-(\text{sum of the zeros})x+\text{product of the zeros}$

$x^2-10x+7$

$\therefore\textbf{The quadratic polynomial is \bf\;x^2-10x+7 }$

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Find the quadratic polynomial whose zeroes are log 0.5 and log,0.25

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Answer 2

Answer:

problem solved buddy

Step-by-step explanation:

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