Question

Use the rules of equations and inverse operations to solve the equation. In your final answer, include all of your work. 4-x^2=-16

Answer 1

Answer:

X = +- 2 radical 5

Step-by-step explanation:

subtract 4 from both sides

-x^2= -16-4

= -x^2-20

take the root from both sides

Answer 2

Using the rules of equations and inverse operations the solution to the equation $4 - x^2 = 16$ is x = 4.47

The given equation is:

$4 - x^2 = -16$

Applying the rule of equations and inverse operations, let us find the value of x

Subtract 4 from both sides of the equation

$4 - 4 - x^2 = -16 - 4\\-x^2 = -20$

Multiply both sides by -1

$-1(-x^2) = -1(-20)\\x^2 = 20$

Find the square root of the both sides

$\sqrt{x^2} = \sqrt{20} \\x = \sqrt{20}$

Find the square root of 20 to get the final value of x

x  =  4.47

Using the rules of equations and inverse operations the solution to the equation $4 - x^2 = 16$ is x = 4.47

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