Question

Five times the square of a non-zero number is equal to fifteen times the number. What is the number?

Answer 1

Explanation:

From question statement, we observe that

We have to find the number that is five times the square of a non-zero number is equal to fifteen times the number.

let x is the number.

5x² = 15x

We have to solve above equation for x.

adding -15x to both sides of above equation, we get

5x²-15x = 15x-15x

5x²-15x = 0

As 5x² and 15x are multiple of 5x.hence,

taking 5x common from above equation,we get

5x(x-3) = 0

Using Zero-Product Property ,we get

5x = 0 or x-3 = 0

x = 0 or x= 3

As we have to find non-zero number.So,

x = 3 is the number that is fives times the square of a non-zero number is equal to fifteen times the number.

Answer 2

Answer: 3

Explanation:

1. Based on the information given in the probelm above, you can write the following expression;

5x²=15x

2. To calculate the value of the number, you must solve for x, as you can see below:

- Make the equation equal to zero:

`5x^(2) -15x=0`

- Factor out the variable and 5:

`5x(x-3)=0`

- Then:

`x_1=0\\x_3=3`

4. As the number is a non-zero number, the answer is:

x=3