Question

4x²+4√3x+3=0
slove this equation by factorization method
plz give correct answer.......

Answer 1

Topic

Factorisation

Given

4x² + 4√3x + 3 = 0

To Find

The factors of given equation using factorisation method.

Solution

4x² + 4√3x + 3 = 0

4x² + 2√3x + 2√3x + 3 = 0

2x( 2x + √3 ) + √3( 2x + √3 ) = 0

( 2x + √3 )( 2x + √3 ) = 0

( 2x + √3 )² = 0

Answer

So, the factorisation of given equation will be

( 2x + √3 )².

Learn More

We can find the value of 'x', which satisfies the equation.

( 2x + √3 )² = 0

As square root of zero is zero, we can write

( 2x + √3 ) = 0

2x = - √3

x = - √3 / 2

So, x = - √3 / 2 satisfies the equation.

We can find the factors of given equation from identity also.

We can use,

a² + 2ab + b² = ( a + b )²

Given equation is :

4x² + 4√3x + 3 = 0

We can clearly observe, that here

a = 2x

b = √3

So,

( 2x )² + 2( 2x )( √3 ) + ( √3 )² = 0

( 2x + √3 )² = 0

Answer 2

4x2+43x+3=0

4x2+23x+23x+3=0

2x(2x+3)+3(2x+3)=0

(2x+3)(2x+3)=0

x=−23,−23