Problems Involving Quadratic Equations

The standard form of the quadratic equation x ( x + 1 ) = 72 is

• 2x + x + 72 = 0

• 2x + x - 72 = 0

The standard form of the quadratic equation x (x + 4) = 45 is?

• x + 4x + 45 = 0

• x + 4x - 45 = 0

The length of the school fishpond is 4 meters longer than its width. If its area is 45 square meters, what are the dimensions of the fishpond?

In the problem above, what is being asked?

• The length of the fishpond.

• The width of the fishpond.

• The length and width of the fishpond.

• The area of the fishpond.

Answer explanation

We are asked to find the dimension of the fishpond, it means we need to determine both the length and width.

Solve the equation by factoring.

• x = {3,8}

• x = {-3,8}

• x = {3,-8}

• x = {-3,-8}

Solve the equation by factoring.

• x = {1}

• x = {-1}

• x = { }

• no solution

Solve the equation by factoring.

• x = {-5,-3}

• x = {5,-3}

• x = {-5,3}

• x = {5,3}

How many solutions can a quadratic have?

• 1 solution

• 3 solutions

• 0 solutions

• 2 solutions

Solve the equation using the quadratic formula.

4x² +9x = 12x

• x = {0, 3/4}

• x = {0, -3/4}

• x = {0, 4/3}

• no solution

Use the discriminant to find the number of solutions for the following equation. y = x² +10x + 25

• 2 solutions

• 1 solution

• 0 solutions

Use the discriminant to find the number of solutions for the following equation.

y = -3x² +5x - 8

• 2 solutions

• 1 solution

• 0 solutions