Find the zeroes of x² –2 and verify the relationship between the zeroes and the coefficients.

We have

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So, the value of

straight x squared minus 2

is zero when

left parenthesis straight x plus square root of 2 right parenthesis equals 0 space space space space or comma space space space straight x minus square root of 2 equals 0.

i.e. when

straight x equals negative square root of 2 space space space space or space straight x equals square root of 2

Therefore, the zeroes of

straight x squared minus 2 space are space minus square root of 2 space and space square root of 2.

Now,
Sum of zeroes

equals open parentheses negative square root of 2 close parentheses plus left parenthesis square root of 2 right parenthesis space equals space 0 over 1 equals fraction numerator Coefficient space of space straight x over denominator Coefficient space of space straight x squared end fraction

Product of zeroes

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Find the zeroes of x2 –2 and verify the relationship between the zeroes and the coefficients.

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Find the zeroes of x² –2 and verify the relationship between the zeroes and the coefficients.