Question

6√3x²+7x=√3 solve by factorization ​

Answer 1

Answer:

You get two solutions:

x

1

=

2

3

x

2

=

−

3

Explanation:

You can use the Quadratic Formula:  

x

1

,

2

=

−

b

±

√

b

2

−

4

a

c

2

a

;

Your equation is in the form:

a

x

2

+

b

x

+

c

=

0

Where:

a

=

3

b

=

7

c

=

−

6

so, using these values into the Quadratic Formula you get:

x

1

,

2

=

−

7

±

√

49

+

72

6

=

−

7

±

11

6

=

you get two solutions:

x

1

=

2

3

x

2

=

−

3

Step-by-step explanation:

idk if u understood sorry if u didnt

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Answer 2

$\sf{\bold{\large{\boxed{\green{ANSWER}}}}}$

$\implies$ 6√3x² + 7x = √3

$\implies$ 6√3x² + 7x - √3 = 0

$\implies$ 6√3x² + 9x - 2x - √3 = 0

$\implies$ 3√3x(2x + √3) - 1(2x + √3) = 0

$\implies$ (2x + √3) (3√3x - 1) = 0

$\implies$ x = - √3/2 or 1/3√3

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