Solving Quadratic Equations with Rational Solutions

difference of squares

perfect square trinomial

positive

negative

sum of cubes

difference of cubes

rational

two

one

three

When the diagonal

(ax=y) is a perfect square

When the difference

(d=ax²−c) is a perfect square

When the difference

(d=ax²−c) is a perfect cube

When the discriminant

(d=b²−4ac) is a perfect cube

When the discriminant

(d=b²−4ac) is a perfect square

$$ax^2+c=0$$  

bx

square roots

$$a\left(x-h\right)^2+k=0$$

cx

discriminant

quadratic formula

Isolate the

Take the square root of both sides.

Eliminate the

Set the equation equal to zero.

Factor the equation completely.

Find the discriminant of the equation.

Solve for the variable in the equation.

To find the solutions or roots of a quadratic equation.

To find the sum of two numbers.

To calculate the area of a triangle.

To determine the slope of a line.