MyQuestionIcon

1

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

Algebraic Identities

Solve the fol...

Question

Solve the following equation by using the method of completing the square:
$4 x^{2} + 4 b x - (a^{2} - b^{2}) = 0$

Open in App

Solution

$4 x^{2} + 4 b x - (a^{2} - b^{2}) = 0$

$4 x^{2} + 4 b x - a^{2} + b^{2} = 0$

$(2 x)^{2} + 2. (2 x) . b + b^{2} - a^{2} = 0$

$(2 x + b)^{2} - a^{2} = 0$

Suggest Corrections

thumbs-up

2

Similar questions

Q. Solve the following equation by using the method of completing the square:

4 x^{2} + 4 b x - (a^{2} - b^{2}) = 0

Q. Solve each of the following equation by using the method of completing the square:

4 x^{2} + 4 b x - (a^{2} - b^{2}) = 0

Q. Solve the following quadratic equation by completing the square:

4 x^{2} + 4 b x - (a^{2} - b^{2}) = 0

Q. Find the roots of the following equation

4 x^{2} + 4 b x - (a^{2} - b^{2}) = 0

by the method of completing the square.

Q. Solve the following quadratic equation.

4 x^{2} + 4 b x - (a^{2} - b^{2}) = 0

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Algebraic Identities

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Algebraic Identities

Standard VIII Mathematics

Join BYJU'S Learning Program

CrossIcon