Solving Quadratics by Square Root Method

Front

What is the Square Root Method for solving quadratics?

Back

The Square Root Method involves isolating the variable term and then taking the square root of both sides to find the solutions.

Front

Solve for r: 3 + 9r² = 12

Back

r = 1, r = -1

Front

Solve for b: 5b² - 4 = 41

Back

b = 3, b = -3

Front

What does it mean to factor a quadratic equation?

Back

Factoring a quadratic equation means expressing it as a product of its linear factors, which can then be set to zero to find the solutions.

Front

Solve for x: (x - 3)(x + 6) = 0

Back

x = 3, x = -6

Front

Solve by factoring: x² - 9x + 20 = 0

Back

x = 4, x = 5

Front

What is the standard form of a quadratic equation?

Back

The standard form is ax² + bx + c = 0, where a, b, and c are constants and a ≠ 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. It determines the nature of the roots.

Front

What does a positive discriminant indicate?

Back

A positive discriminant indicates that there are two distinct real roots.

Front

What does a zero discriminant indicate?

Back

A zero discriminant indicates that there is exactly one real root (a repeated root).