5.3/5.4 FAKE FLASHCARD

Front

What is the leading coefficient in the quadratic equation y = x² - 5x + 7?

Back

The leading coefficient is 1.

Front

In the equation x² + 6x - 13 = 3, what is the first step to solve it?

Back

Make it equal 0 by subtracting 3 on each side.

Front

What does it mean if a quadratic equation has a negative discriminant?

Back

It means there are two imaginary solutions.

Front

Can a system of one linear function and one quadratic function have no solutions?

Back

Yes, it can have 0, 1, or 2 solutions.

Front

What are the real solutions to the system if the answer is 'No real solutions'?

Back

It means the equations do not intersect at any point.

Front

What is the standard form of a quadratic equation?

Back

The standard form is y = ax² + bx + c.

Front

What is the value of 'b' in the equation y = x² - 5x + 7?

Back

The value of 'b' is -5.

Front

If the discriminant (D) is positive, what can be said about the solutions?

Back

There are two distinct real solutions.

Front

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

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a).

Front

What does the term 'imaginary solutions' refer to in quadratic equations?

Back

Imaginary solutions occur when the discriminant is negative.