The square of the product of 4 and a number is the sum of the number and 15

 x=1           or      x = -

Step-by-step 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 = -

c

step-by-step explanation:

c