Question

The square of number is 12 more than the number.Find the number.

Answer 1

Answer: Translate the problem into an equation, and solve to find that the number is 4.

Explanation: Translate the problem into an equation: x2=x+12.

Answer 2

Explanation:
Translate the problem into an equation:
x
2
=
x
+
12
Solve the quadratic equation:
x
2
−
x
−
12
=
0
Try factoring. If this does not work, we can use the quadratic formula:
(
x
+
3
)
(
x
−
4
)
=
0
x
=
−
3
or
x
=
4
Throw out the negative result:
x
=
4