5.2: Solving Quadratics w/ Square Roots

Front

What is the solution to the equation k² - 6 = 43?

Back

k = 7, k = -7

Front

What does i² equal?

Back

-1

Front

What is the first step to solve the equation (x + 1)² = 25?

Back

Take the square root of both sides.

Front

What are the possible values of x in the equation (x + 1)² = 25?

Back

x = 4 or x = -6

Front

How do you isolate r in the equation 3 + 9r² = 12?

Back

Subtract 3 from both sides, then divide by 9.

Front

What is the solution to the equation 3 + 9r² = 12?

Back

r = 1, r = -1

Front

What is the definition of a quadratic equation?

Back

An equation of the form ax² + bx + c = 0, where a ≠ 0.

Front

What is the square root of a negative number represented by?

Back

It is represented by the imaginary unit i.

Front

What is the principle of taking square roots in solving equations?

Back

If x² = a, then x = ±√a.

Front

What does the term 'discriminant' refer to in a quadratic equation?

Back

The discriminant is b² - 4ac, which determines the nature of the roots.