Solving Quadratics w/Square Root Method

Front

What is the square root method for solving quadratics?

Back

The square root method involves isolating the variable squared on one side of the equation and then taking the square root of both sides to find the variable's values.

Tags

CCSS.HSA-REI.B.4B

Front

Solve: x² = 16

Back

x = ±4

Tags

CCSS.8.EE.A.2

Front

What is the first step in solving 5b² - 4 = 41 using the square root method?

Back

Add 4 to both sides to isolate the term with b²: 5b² = 45.

Tags

CCSS.HSA-REI.B.4B

Front

Solve: 5b² - 4 = 41

Back

b = ±3

Tags

CCSS.8.EE.A.2

Front

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

Back

Taking the square root of both sides means finding a number that, when multiplied by itself, gives the original number, which can yield both positive and negative solutions.

Tags

CCSS.HSA-REI.B.4B

Front

Solve: (x + 1)² = 25

Back

x = 4 or x = -6

Tags

CCSS.8.EE.A.2

Front

What is the importance of the ± symbol in solutions?

Back

The ± symbol indicates that there are two possible solutions: one positive and one negative.

Tags

CCSS.8.EE.A.2

Front

Solve: -5x² = -50

Back

x = ±√10

Tags

CCSS.8.EE.A.2

Front

What is the first step in solving 7x² + 1 = 8?

Back

Subtract 1 from both sides to isolate the term with x²: 7x² = 7.

Tags

CCSS.8.EE.A.2

Front

Solve: 7x² + 1 = 8

Back

x = ±1

Tags

CCSS.8.EE.A.2