Solve the quadratic equation given below.
(12x – 27)^2 = 256
2 answers:
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:
Answer:
x=43/12, 11/12
Step-by-step explanation:
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