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}

Tags

CCSS.HSA-REI.B.4B

Solve the equation by factoring.

• x = {1}

• x = {-1}

• x = { }

• no solution

Tags

CCSS.HSA-REI.B.4B

Solve the equation by factoring.

• x = {-5,-3}

• x = {5,-3}

• x = {-5,3}

• x = {5,3}

Tags

CCSS.HSA-REI.B.4B

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

Tags

CCSS.HSA-REI.B.4B

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

• 2 solutions

• 1 solution

• 0 solutions

Tags

CCSS.HSA-REI.B.4B

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

y = -3x² +5x - 8

• 2 solutions

• 1 solution

• 0 solutions

Tags

CCSS.HSA-REI.B.4B