Front

What are the solutions of the quadratic equation x² + 12x + 35 = 0?

Back

x = -5 or x = -7

Front

How many solutions does a linear-quadratic system have if it intersects at two points?

Back

2 solutions

Front

Find the solution(s) for the system: y = x² - 4x + 6 and y = x + 2.

Back

(1, 3) and (4, 6)

Front

What value of 'c' makes the expression x² - 8x + c a perfect square trinomial?

Back

c = 16

Front

What is the first step in solving the equation x² + 6x - 13 = 3?

Back

Make it equal 0 by subtracting 3 on each side.

Front

Define a quadratic equation.

Back

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

Front

What is a perfect square trinomial?

Back

A trinomial that can be expressed as the square of a binomial, e.g., (x - a)² = x² - 2ax + a².

Front

What does it mean for a quadratic equation to have no real solutions?

Back

The discriminant (b² - 4ac) is less than 0.

Front

How do you find the vertex of a parabola given by the equation y = ax² + bx + c?

Back

The vertex can be found at the point (-b/(2a), f(-b/(2a))).

Front

What is the discriminant of a quadratic equation?

Back

The value calculated as b² - 4ac, which determines the nature of the roots.