Exemplar - Find the roots of the quadratic equation — task. Maths CBSE Live product, Class 10.

1. Find the roots of the quadratic equation \(2x^2 - \sqrt{5}x - 6 = 0\) using the quadratic formula.

Answer:

The roots are

and

2. Determine 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{5} - \sqrt{53}}{4}

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

\frac{\sqrt{5} + \sqrt{53}}{4}

\frac{\sqrt{3} - \sqrt{53}}{4}

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

\frac{\sqrt{3} + \sqrt{53}}{4}

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

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

Did you find an error?

2. Exemplar - Find the roots of the quadratic equation