Question

2. Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes
respectively:-
-1/√2,1/√2​

Answer 1

Step-by-step explanation:

The quadratic equation is

${x}^{2} - ( \frac{ - 1}{ \sqrt{2}}) x + \frac{1}{ \sqrt{2} } = 0 \\ {x}^{2} + \frac{1}{ \sqrt{2} } x + \frac{1}{ \sqrt{2} } = 0 \\ \sqrt{2} {x}^{2} + x + 1 = 0$

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