Question

Solve for x given: x(x + 4) = 32

Answer 1

Answer:

x = 4

Step-by-step explanation:

x(x+4)=32

We should take all the values to the left side and take equal to 0.

x (x + 4) - 32 = 0

Then we take the factors of 32 which are 1, 2, 4, 8, 16 and 32.

Then we should replace 'x' with each of these factors and see if the solution is 0 or not.

In this we are using TRIAL & ERROR method.

So, 1st factor is 1. (replace x with 1)

= (1)² + 4×1 - 32

= 1 + 4 - 32

≠ 0

∴ x ≠ 1

Second factor is 2. (replace x with 2)

= (2)² + 4×2 - 32

= 4 + 8 - 32

≠ 0

∴ x ≠ 2

Third factor is 4. (replace x with 4)

= (4)² + 4 × 4 - 32

= 16 + 16 - 32

= 0

∴ x = 4

I hope you find this helpful.

I am pretty sure that this is the correct answer.