Question

Form a quadratic polynomial whose zeroes are 7 + √5 and 7-√5
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Answer 1

HOPE IT HELPS:):):):):):)

Answer 2

$\huge\star{\green{\underline{\mathfrak{Answer :-}}}}$

Finding the sum of zeroes:-

7 + √5 + 7 - √5 = 14.

Finding the product of zeroes:-

(7 + √5)(7 - √5)

= 49 - 7√5 + 7√5 - 5

= 44.

Now, we know the formula to find the quadratic equation when the sum of the zeros and the product of the zeros are given.

The formula is:-

$\tt{\red{k({x}^{2}-(Sum)x+Product)}}$

So the equation is:-

➜ (x² - 14 x + 44).

$\rule{200}4$