Chapter ISG, Problem 2.1.2.4P

To determine

Solve the equation $16=x+4x\left(2^4-6\right)$ then explain how you know your solution is correct

Answer to Problem 2.1.2.4P

  $2$

Explanation of Solution

Given information:

  $16=x+4x\left(2^4-6\right)$

Formula used:

Simplification of equation

Calculation:

  $16=x+4x\left(2^4-6\right)$

Firstly solve the power term

  $16=x+4+\left(16-6\right)$

By subtracting the bracket term

  $16=x+4+10$

To add 4 and 10 then

  $16=x+14$

Transfer the 14 other side

  $x=16-14$

Hence, on subtracting, the final answer is-

  $x=2$

Now put the value of x in given equation

  $16=x+4+\left(2^4-6\right)$

Put $x=2$

  $16=2+4+\left(2^4-6\right)$

Firstly solve the power term

  $16=2+4+\left(16-6\right)$

By subtracting the bracket term

  $16=2+4+10$

To add 2 and 4 and 10

  $16=16$

Conclusion- Solution is correct. When put the value $x=2$ in the equation then there is equal part both side.So solution is correct.