Roots of quadratic equations $3 x^{2} - x - 10 = 0$ are

2, \frac{5}{3}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

2, \frac{- 5}{3}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

- 2, \frac{- 5}{3}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

- 2, \frac{5}{3}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $2, \frac{- 5}{3}$
Given equation is :
$3 x^{2} - x - 10 = 0$
$3 x^{2} - 6 x + 5 x - 10 = 0$
$3 x (x - 2) + 5 (x - 2) = 0$
$(3 x + 5) (x - 2) = 0$
$∴ x = 2, \frac{- 5}{3}$
$∴$ roots of the given equation are $2, \frac{- 5}{3}$

Suggest Corrections

Similar questions

\frac{\sqrt{5}}{3}, - \sqrt{5}

3 x^{2} + 2 \sqrt{5 x} - 5 = 0

2 x^{2} + 5 x - 3 = 0

x^{2} - 3 x + 10 = 0

x^{2} - 3 x - 10 = 0

x^{2} + 3 x - 10 = 0

x^{2} + 3 x + 10 = 0

The roots of the quadratic equation √3x² - 2√2x - 2√3 = 0 are:

3 \sqrt{5} x^{2} + 25 x - 10 \sqrt{5} = 0

Join BYJU'S Learning Program