CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Solving a Quadratic Equation by Completion of Squares Method

Factorise: 4...

Question

Factorise:
$4 x^{4} - 12 x^{2} + 9$

Open in App

Solution

$4 x^{4} - 12 x^{2} + 9$
$= {(2 x^{2})}^{2} + 9 - 12 x^{2}$
$= {(2 x^{2} - 3)}^{2}$
$= {(2 x^{2} - 3)}^{2}$
$x^{2} = \frac{3}{2}$
$x = \pm \frac{\sqrt{3}}{\sqrt{2}}$

Suggest Corrections

thumbs-up

0

Similar questions

4 x^{4} + 81 y^{4}

4 x^{4} + 9 y^{4} + 11 x^{2} y^{2}

4 x^{4} + 3 x^{2} + 1

4 x^{4} + 3 x^{2} + 1

4 x^{4} + 9 y^{4} + 6 x^{2} y^{2}

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Solving QE by Completing the Square

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Solving a Quadratic Equation by Completion of Squares Method

Standard X Mathematics

Join BYJU'S Learning Program

CrossIcon