Question

1. how many real solutions does the following equation have?

1a ( x^2 - 4 = 0 )
options: a. none, b. 1 solution, c. 2 solutions, d. more than 2 solutions

Explanation:

Step1: Solve the equation \(x^2 - 4 = 0\)

We can rewrite the equation as \(x^2=4\) using the addition property of equality (add 4 to both sides).

Step2: Find the square roots

For the equation \(x^2 = 4\), we take the square root of both sides. Remember that if \(x^2=a\) (\(a\geq0\)), then \(x=\pm\sqrt{a}\). So here, \(x = \pm\sqrt{4}=\pm2\). This gives us two real solutions, \(x = 2\) and \(x=- 2\).

Answer:

C. 2 solutions