Alg1 9.4 - Solving quadratics equations using 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 inspection?

Back

Solving by inspection means finding the roots of the equation by recognizing patterns or using simple calculations without formal methods.

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 by inspection: x² - 8 = 1

Back

± 3

Front

Solve by inspection: x² = 256

Back

± 16

Front

Solve by inspection: x² = 144

Back

± 12

Front

Solve by inspection: 3x² + 14 = 26

Back

± 2

Front

Solve by inspection: x² = 81

Back

Both x = 9 and x = -9

Front

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

Back

When solving an equation of the form x² = a, take the square root of both sides to find x = ±√a.

Front

What are the possible solutions for x² = 0?

Back

x = 0 (a double root).