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 (x²) on one side of the equation and then taking the square root of both sides to find the values of the variable.

Front

Solve by taking square roots: 5b² - 4 = 41

Back

b = 3, b = -3

Front

Solve for x: x² + 4 = 68

Back

x = ±8

Front

Solve the equation: (x + 1)² = 25

Back

x = 4 or x = -6

Front

What is the solution to x² = 16?

Back

x = ±4

Front

Solve for x: 4x² = 100

Back

x = ±5

Front

What does it mean to isolate a variable in an equation?

Back

Isolating a variable means rearranging the equation so that the variable is on one side and all other terms are on the opposite side.

Front

What is the first step in solving a quadratic equation using the square root method?

Back

The first step is to move all terms to one side of the equation to set it equal to zero or isolate the squared term.

Front

What is the principle behind taking the square root of both sides of an equation?

Back

Taking the square root of both sides of an equation allows us to find the values of the variable that satisfy the equation, considering both the positive and negative roots.

Front

If x² = a, what are the possible values of x?

Back

x = ±√a