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Mathematics
Problem
Solve the equation
x
(
x
+
4
)
=
12
x(x+4)=12
x
(
x
+
4
)
=
12
. a. (i) Write the equation in the standard quadratic form
a
x
2
+
b
x
+
c
=
0
ax^{2}+bx+c=0
a
x
2
+
b
x
+
c
=
0
. b. (ii) Factorise the quadratic expression obtained. c. (iii) Hence determine all real solutions of the given equation.
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