Exemplar problems XXIII — task. Mathematics CBSE, Class 10.

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Find the zeroes of the polynomial

$2s^2 - (1 + 2 \sqrt{2})s + \sqrt{2}$ , and verify the relation between the coefficients and the zeroes of the polynomial.

Answer:

The zeroes are

and

Sum of the zeroes

$=$

Product of the zeroes

$=$

Answer variants:

$\frac{- constant}{coefficient of s^{2}} = \frac{\sqrt{2}}{2}$

$\frac{- coefficient of s}{coefficient of s^{2}} = \frac{1 + 2 \sqrt{2}}{2}$

$s = \sqrt{2}$

$s = \frac{1}{2 \sqrt{2}}$

$s = \frac{1}{2}$

$\frac{- coefficient of s}{coefficient of s^{2}} = \frac{- (1 + 2 \sqrt{2})}{2}$

$s = \frac{3}{\sqrt{2}}$

$\frac{constant}{coefficient of s^{2}} = \frac{\sqrt{2}}{2}$

Did you find an error?

42. Exemplar problems XXIII