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.

Tags

CCSS.HSA-REI.B.4B

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.

Tags

CCSS.8.EE.A.2

Front

Solve by inspection: x² - 8 = 1

Back

± 3

Tags

CCSS.8.EE.A.2

Front

Solve by inspection: x² = 256

Back

± 16

Tags

CCSS.8.EE.A.2

Front

Solve by inspection: x² = 144

Back

± 12

Tags

CCSS.8.EE.A.2

Front

Solve by inspection: 3x² + 14 = 26

Back

± 2

Tags

CCSS.8.EE.A.2

Front

Solve by inspection: x² = 81

Back

Both x = 9 and x = -9

Tags

CCSS.8.EE.A.2

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.

Tags

CCSS.8.EE.A.2

Front

What are the possible solutions for x² = 0?

Back

x = 0 (a double root).

Tags

CCSS.HSA-REI.B.4B