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

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Find the zeroes of the polynomial

$y^2 + \frac{3}{2} \sqrt{5}y - 5$ , 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:

$y = -\frac{\sqrt{5}}{2}$

$\frac{- coefficient of y}{coefficient of y^{2}} = - \frac{3}{2} \sqrt{5}$

$\frac{- constant}{coefficient of y^{2}} = - 5$

$y = - 2\sqrt{5}$

$y = \frac{\sqrt{5}}{2}$

$y = 2\sqrt{5}$

$\frac{constant}{coefficient of y^{2}} = - 5$

$\frac{- coefficient of y}{coefficient of y^{2}} = \frac{3}{2} \sqrt{5}$

Did you find an error?

44. Exemplar problems XXV