Solving Quadratic Equations by Taking the Square Root

What is the primary goal when learning to solve quadratic equations by square roots?

• To understand the theory of quadratic equations

• To graph quadratic equations

• To solve quadratic equations by taking square roots

• To solve quadratic equations by factoring

What does a Type 1 quadratic equation typically involve?

• A variable squared equal to a non-perfect square

• A variable squared equal to a perfect square

• A variable multiplied by a constant

• A variable added to a constant

What is the square root of 16?

• 8

• 16

• 4

• 2

What type of number results from taking the square root of a negative number?

• Imaginary number

• Rational number

• Real number

• Irrational number

How do you simplify the square root of 28?

• Plus or minus 3 square root of 3

• Plus or minus 5

• Plus or minus 2 square root of 7

• Plus or minus 4

What is the result of simplifying the square root of 63?

• Plus or minus 8

• Plus or minus 3 square root of 7

• Plus or minus 6

• Plus or minus 7

What is the next step after simplifying an equation to look like a Type 1 problem?

• Graph the equation

• Substitute values to find solutions

• Factor the equation

• Take the square root of both sides

What does the square root of a perfect square, like 9, result in?

• Plus or minus 5

• Plus or minus 2

• Plus or minus 3

• Plus or minus 4

What should you always do after solving a quadratic equation?

• Rewrite the equation

• Plot the equation on a graph

• Simplify the equation again

• Check your solution

What type of solutions do you get when you solve a quadratic equation that results in a negative under the square root?

• Real solutions

• Imaginary solutions

• Rational solutions

• No solutions