Exemplar example problems I — task. Mathematics CBSE, Class 10.

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1. Find the roots of the quadratic equation \(2x^2 - \sqrt{5}x - 2 = 0\) using the quadratic formula.

Answer:

The roots are

and

2. Find the roots of \(6x^2 - \sqrt{2}x - 2 = 0\) by the factorisation of the corresponding quadratic polynomial.

Answer:

The roots are

and

Answer variants:

- \frac{\sqrt{3}}{2}

\frac{\sqrt{3} + \sqrt{21}}{4}

- \frac{\sqrt{2}}{3}

\frac{\sqrt{3} - \sqrt{21}}{4}

\frac{\sqrt{5} + \sqrt{21}}{4}

\frac{\sqrt{5} - \sqrt{21}}{4}

\frac{\sqrt{2}}{3}

\frac{\sqrt{3}}{2}

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14. Exemplar example problems I