Flashcard Review

Front

What is the imaginary unit 'i'?

Back

The imaginary unit 'i' is defined as the square root of -1.

Front

What is the value of i^2?

Back

i^2 = -1.

Front

What is the Square Roots Method?

Back

The Square Roots Method is a technique used to solve equations by taking the square root of both sides.

Front

What does it mean to solve an equation using square roots?

Back

It means to isolate the variable by taking the square root of both sides of the equation.

Front

What is the solution to the equation x^2 - 18 = 0?

Back

x = ±√18.

Front

How do you solve the equation 5b^2 - 4 = 41?

Back

First, add 4 to both sides to get 5b^2 = 45, then divide by 5 to get b^2 = 9, and finally take the square root to find b = ±3.

Front

What is the solution to the equation 3 + 9r^2 = 12?

Back

r = ±1.

Front

What is the first step in solving the equation (1/4)x^2 - 7 = 25?

Back

Add 7 to both sides to isolate the term with x.

Front

What does the symbol '±' mean in mathematics?

Back

The symbol '±' means 'plus or minus' and indicates two possible values.

Front

What is the square root of 128?

Back

The square root of 128 is 8√2.