Solve Quadratics by Taking Square Roots

Front

What is the square root of a number?

Back

The square root of a number is a value that, when multiplied by itself, gives the original number.

Front

Solve for x: x² = 36

Back

x = ±6

Front

What is the first step to solve the equation 3x² = 48?

Back

Divide both sides by 3 to isolate x².

Front

Solve for x: 3x² = 48

Back

x = ±4

Front

What does it mean to take the square root of both sides of an equation?

Back

It means to find the value that, when squared, equals the number on that side.

Front

Solve for x: 5(x - 3)² + 1 = 81

Back

x = -1, 7

Front

What is the vertex of a parabola?

Back

The vertex is the highest or lowest point of the parabola, depending on its orientation.

Front

Does the equation x² - 4x + 4 = 0 have a maximum or minimum value?

Back

It has a minimum value.

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a) for the equation ax² + bx + c = 0.

Front

What is the discriminant in a quadratic equation?

Back

The discriminant is the part of the quadratic formula under the square root, b² - 4ac, which determines the nature of the roots.