The Square Root Property: 동영상 및 연습문제

Among the following equations, select which one can be directly solved by using the quadratic formula and work out the value(s) of x.

1. 4x² - 23x - 35 = 0
2. (3x + 1)² = 4
3. x² - x = 72
4. (9x - 4)(x - 5) = 0

Among the following equations, select which one can solved by skipping the first step in completing the square and work out the value(s) of x.

1. 4x² - 23x - 35 = 0
2. (3x + 1)² = 4
3. x² - x = 72
4. (9x - 4)(x - 5) = 0

Use the zero-factor rule to solve the given quadratic equation.

-8x² + 17x = -21

In the given equation, complete the square and solve it.
18x² +x = 4

In the given equation, complete the square and solve it.
4x² - 24x +111= 0

For the following equation, express y in terms of x:

9x² - 15xy + 5y² = 7

Identify the number of distinct solutions of the following quadratic equation by calculating its discriminant. Then, classify the solutions (nonreal complex number, rational, or irrational):

12x² - 5x + 2 = 0

Solve the quadratic equation given below for x.

(x + 3)(x + 6) = 3x

Identify the following function's graph by first solving for its x-intercepts and then matching it with the given graphs. 

y = 2x² -8x +9

Solve the equation x^2 = 49 using the square root property.

What is the first step in solving the equation 3x^2 - 12 = 0 using the square root property?

Solve the equation x^2 = 20 and simplify your answer.

Solve the equation x^2 + 16 = 0.

Which of the following equations is most suitable for solving using the square root property?

If x = ±3 is a solution to the equation x^2 = 9, verify the solution by substitution.

What type of solutions does the equation x^2 = -4 have?

Predict the type of roots for the equation 2x^2 + 3 = 0.

Solve the equation (x - 3)^2 = 25 by breaking down the steps.

Why is it important to consider both the positive and negative square roots when solving x^2 = k?