Solve Quadratics (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 solve for the variable.

Front

Solve for x: x² - 4 = 76

Back

x = 4√5, -4√5

Front

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

Back

b = 3, b = -3

Front

What is the first step in solving the equation 3x² = 12?

Back

Divide both sides by 3 to isolate x²: x² = 4.

Front

Solve for x: 2x² = 30

Back

x = √15

Front

What does it mean if an equation has no real solution when using the square root method?

Back

It means that the expression under the square root (the radicand) is negative, leading to complex solutions.

Front

Solve for x: x² = 16

Back

x = 4, -4

Front

What is the importance of isolating the variable squared in quadratic equations?

Back

Isolating the variable squared allows for the application of the square root method, simplifying the process of finding solutions.

Front

Solve for b: 5b² - 4 = 41

Back

b = 3, b = -3

Front

What is the solution to the equation x² = 25?

Back

x = 5, -5