A number multiplied by 12 is equal to the sum of the square of that same number and 36. What is that number?
Wait, so, 0 is the answer? That makes no sense.
I really need help with this.
To solve this problem, we can set up an equation based on the given information.
Let's call the unknown number "x".
According to the problem, a number multiplied by 12 is equal to the sum of the square of that same number and 36. So, we can write the equation as:
12x = x^2 + 36
To solve this quadratic equation, we can rearrange it in standard form:
x^2 - 12x + 36 = 0
To find the value of "x," we can factor the quadratic equation:
(x - 6)(x - 6) = 0
Now, we have a double root, x = 6.
Therefore, the answer to the problem is that the number is 6.
12 n = n^2 + 36
0 = n^2 - 12 n + 36 = (n - 6)^2
n - 6 = 0