Solving Quadratics with Square Roots

Front

What is the square root of 16?

Back

± 4

Front

Solve for x: -5x² = -50

Back

± √10

Front

What is the solution to the equation x² + 17 = 13?

Back

no solution

Front

Solve for x: x² + 4 = 68

Back

± 8

Front

Solve for x: 1/3x² = 48

Back

+12, -12

Front

What does it mean to solve a quadratic equation using square roots?

Back

Finding the value(s) of x that satisfy the equation by isolating x² and taking the square root.

Front

What is the general form of a quadratic equation?

Back

ax² + bx + c = 0, where a, b, and c are constants.

Front

What is the principle of taking square roots in equations?

Back

If x² = a, then x = ±√a.

Front

What is the discriminant in a quadratic equation?

Back

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

Front

What does a negative discriminant indicate?

Back

The quadratic equation has no real solutions.