MyQuestionIcon

14

You visited us 14 times! Enjoying our articles? Unlock Full Access!

Solving a Quadratic Equation by Factorization Method

Solve the fol...

Question

Solve the following quadratic equation for $x : 4 \sqrt{3 x^{2}} + 5 x - 2 \sqrt{3} = 0$

Open in App

Solution

$4 \sqrt{3 x^{2}} + 5 x - 2 \sqrt{3} = 0 4 \sqrt{3 x^{2}} + 8 x - 3 x - 2 \sqrt{3} = 0 4 x (\sqrt{3} x + 2) - \sqrt{3} (\sqrt{3} + 2) = 0 (4 x - \sqrt{3}) (\sqrt{3} x + 2) = 0 ∴ x = \frac{\sqrt{3}}{4} o r x = - \frac{2}{\sqrt{3}}$

Suggest Corrections

thumbs-up

473

Similar questions

Q. Solve the Quadratic Equation for

x

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

Q. On solving the following quadratic equation by factorization, the roots are

\frac{\sqrt{3}}{4}, - \frac{2}{\sqrt{3}}

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

Q. Solve the given quadratic equation :

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

Q. Solve the following quadratic equation by factorization method:

3 x^{2} - 5 x - 12 = 0

Q. Solve the quadratic equation

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

using formula method.

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Solving QE by Factorisation

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Solving a Quadratic Equation by Factorization Method

Standard X Mathematics

Join BYJU'S Learning Program

CrossIcon