Answer:
x=1 or x = -

Explanation:
To solve this problem, we will follow the steps below;
First, we need to re-write the question in a mathematical format.
Let x be the number
"The square of the product of 4 and a number is the sum of the number and 15" can be written mathematically as;
(4x)² = x + 15
16x² = x + 15
This equation can be re-written as;
16x² - x - 15 = 0
This is a quadratic equation, we can solve by formula method
x = -b ±√b² - 4ac /2a
From the equation above, a = 16 b = -1 and c= -15
We can now proceed to insert the values into the equation
x = -b ±√b² - 4ac /2a
x = -(-1) ±√(-1)² - 4(16)(-15) /2(16)
x = 1 ±√1 + 960 /32
x = 1 ±√961 /32
x = 1 ± 31 /32
Either x =
or x =

x =
or x =

x=1 or x = -
