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

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Find the zeroes of the polynomial \(4x^2 + 5 \sqrt{2}x - 3\), 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{- coefficient of x}{coefficient of x^{2}} = \frac{- 5}{4}

\(x = \frac{3}{\sqrt{2}}\)

\(x = \frac{-1}{2 \sqrt{2}}\)

\frac{- constant}{coefficient of x^{2}} = \frac{3}{4}

\frac{- coefficient of x}{coefficient of x^{2}} = \frac{- 5}{2 \sqrt{2}}

\(x = \frac{-3}{\sqrt{2}}\)

\frac{constant}{coefficient of x^{2}} = \frac{- 3}{4}

\(x = \frac{1}{2 \sqrt{2}}\)

Did you find an error?

41. Exemplar problems XXII