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laiz [17]
3 years ago
9

Solve the quadratic equation given below. (12x – 27)^2 = 256

Mathematics
2 answers:
ankoles [38]3 years ago
8 0

Answer:

x

2

+

12

x

−

64

=

0

⟹

x

2

+

12

x

=

64.

x

2

+

12

x

=

64

⟹

(

4

∗

1

)

(

x

2

+

12

x

)

=

(

4

∗

1

)

64

⟹

4

x

2

+

48

x

=

256

All this is straight forward. This method now requires you to add the square of the original coefficient of x to both sides of the equation.

The original coefficient is 12 so its square is 144.

4

x

2

+

48

x

=

256

⟹

4

x

2

+

48

x

+

144

=

256

+

144

=

400

⟹

4

(

x

2

+

12

x

+

36

)

=

20

2

⟹

2

2

(

x

+

6

)

2

=

20

2

.

Step-by-step explanation:

Elena L [17]3 years ago
8 0

Answer:

x=43/12, 11/12

Step-by-step explanation:

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