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 taking the square root of both sides of the equation to find the solutions.

Tags

CCSS.HSA-REI.B.4B

Front

Solve: 3x² = 12

Back

x = ±2

Tags

CCSS.8.EE.A.2

Front

What is the first step in solving a quadratic equation using the Square Root Method?

Back

Isolate the x² term on one side of the equation.

Tags

CCSS.HSA-REI.B.4B

Front

Solve: 4m² - 100 = 0

Back

m = ±5

Tags

CCSS.8.EE.A.2

Front

What does it mean if a quadratic equation has no real solutions?

Back

It means that the expression under the square root (the discriminant) is negative.

Tags

CCSS.HSA-REI.B.4B

Front

Solve: x² + 4 = 68

Back

x = ±8

Tags

CCSS.8.EE.A.2

Front

What is the discriminant in a quadratic equation?

Back

The discriminant is the part of the quadratic formula under the square root, given by b² - 4ac, which determines the nature of the roots.

Tags

CCSS.HSA-REI.B.4B

Front

Solve: 3 + 9r² = 12

Back

r = ±1

Tags

CCSS.8.EE.A.2

Front

What is the general form of a quadratic equation?

Back

The general form is ax² + bx + c = 0, where a, b, and c are constants.

Front

Solve: (x + 1)² = 25

Back

x = 4 or x = -6

Tags

CCSS.8.EE.A.2