Solving Quadratic Equations by Square Roots

Front

What is the difference between a root and a square root?

Back

A root is a solution and square root undoes a square.

Front

What is the first step for finding the roots of the quadratic equation x^2 + 3 = 0?

Back

Subtract 3 from both sides.

Front

What is the square root of 49?

Back

x = 7, x = -7.

Front

What are the zeros of the quadratic equation x^2 - 16 = 0?

Back

x = 4, x = -4.

Front

What does it mean to solve a quadratic equation by square roots?

Back

It means to isolate the variable and take the square root of both sides.

Front

What is the general form of a quadratic equation?

Back

ax^2 + bx + c = 0, where a, b, and c are constants.

Front

How do you check if a solution is correct for a quadratic equation?

Back

Substitute the solution back into the original equation.

Front

What is the square root of 25?

Back

x = 5, x = -5.

Front

What is the process to find the roots of the equation x^2 = 9?

Back

Take the square root of both sides: x = 3, x = -3.

Front

What is the significance of the discriminant in a quadratic equation?

Back

It determines the nature of the roots: real and distinct, real and equal, or complex.