All about Solving Quadratic Equations

Front

What is the standard form for a Quadratic?

Back

Front

What is the quadratic formula used to find the roots of a quadratic equation?

Back

Front

How do you solve the equation using square roots: x^2 = 121?

Back

Front

What do you do to the b value to correctly complete the square?

Back

To complete the square, divide the b value by 2 and square the result.

Front

Solve the equation: x^2 + 44 = -15x.

Back

The solutions are {-11, -4}.

Front

What is the vertex form of a quadratic equation?

Back

Front

What does the discriminant tell you about the roots of a quadratic equation?

Back

Front

What is the axis of symmetry in a quadratic equation?

Back

Front

What is the effect of the 'a' value in a quadratic equation?

Back

The 'a' value determines the direction of the parabola: if 'a' > 0, it opens upwards; if 'a' < 0, it opens downwards.

Front

How can you factor a quadratic equation?

Back

To factor a quadratic equation, find two numbers that multiply to 'ac' and add to 'b'.