Put the steps in order for solving the equation: x^2 + 4 = 53

Question

(3 points)
Put responses in the correct input to answer the question.
Step 1
Step 2
Step 3 Note: How many Rational or Irrational answers do you get?

Answer 1

To solve the equation \( x^2 + 4 = 53 \), follow these steps in order:

Step 1: Subtract 4 from both sides of the equation to isolate the term with \( x^2 \): \[ x^2 + 4 - 4 = 53 - 4 \implies x^2 = 49 \]

Step 2: Take the square root of both sides: \[ x = \pm \sqrt{49} \implies x = \pm 7 \]

Step 3: Write the final solutions. The solutions are: \[ x = 7 \quad \text{and} \quad x = -7 \]

Summary of Answers:

Number of Rational or Irrational answers: You get 2 rational answers: \( 7 \) and \( -7 \).