Question

Find the quadratic formula whose sum and product of zeroes are √2 and 1/3.

Answer 1

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Now formula of quadratic equation is

x²-(Sum of root)x + (Product of root) = 0

Plug the value in formula we get

x² �(1/4)x -1� = 0

Multiply by 4 to remove denominator we get

4x² �- �x �-4 �= 0

(ii) ?2 , 1/3

Now formula of quadratic equation is

x²-(Sum of root)x + (Product of root) = 0

Plug the value in formula we get

x² �(?2)x� + 1/3� = 0

Multiply by 3 to remove denominator we get

3x²� - 3?2 x + 1� = 0

(iii) 0, ?5

Now formula of quadratic equation is

x²-(Sum of root)x + (Product of root) = 0

Plug the value in formula we get

x² �(0)x� + ?5� = 0

simplify it we get

x²�� + ?5� = 0

Answer 2

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$<b>Here's your answer$

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The General form of a quadratic polynomial whose Sum of roots and products of roots is given is

x²-(Sum of roots)x +(Product of roots )

Here,

The Sum of roots = √2

The Product of roots = 1/3 .

So,quadratic polynomial

= x² - √2x + 1/3

= 3x² - 3√2x + 1

➡Hence the polynomial is 3x²-3√2x+1

_______×__________×______________×_________.

Hope this cleared your doubt.... :)

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