Solving Quadratics by Square Roots

Front

What is a quadratic equation?

Back

A quadratic equation is a polynomial equation of the form ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.

Front

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

Back

Solving a quadratic equation by square roots involves isolating the x² term and then taking the square root of both sides to find the values of x.

Front

What is the square root of a number?

Back

The square root of a number x is a value y such that y² = x. It can be positive or negative.

Front

Solve for x: x² = 9

Back

x = ±3

Front

Solve for x: x² = 64

Back

x = ±8

Front

What is the first step in solving 5m² + 1 = 6?

Back

Subtract 1 from both sides to isolate the m² term: 5m² = 5.

Front

Solve for m: 5m² = 5

Back

m = ±1

Front

Solve for x: 3x² - 27 = 0

Back

x = ±3

Front

What is the solution to k² - 6 = 43?

Back

k = ±7

Front

What is the principle of taking square roots in solving equations?

Back

The principle states that if x² = a, then x = ±√a.