All High School Math Resources
Example Questions
Example Question #75 : Intermediate Single Variable Algebra
What are the roots of ?
To find the roots, we need to find what would make . Since there are two parts to , we will have two roots: one where , and one where .
Solve each individually.
Therefore, our two roots will be at .
Example Question #76 : Intermediate Single Variable Algebra
Solve .
No solutions
Factor the equation by looking for two factors that multiply to and add to .
The factors are and , so the equation to solve becomes .
Next, set each factor equal to zero and solve:
or
The solution is or .
Example Question #77 : Intermediate Single Variable Algebra
Solve .
To find the roots of this equation, you can factor it to
Set each of those expressions equal to zero and then solve for . The roots are and .
Example Question #78 : Intermediate Single Variable Algebra
Find the root(s) of the following quadratic polynomial.
We set the function equal to 0 and factor the equation. By FOIL, we can confirm that is equivalent to the given function. Thus, the only zero comes from, and . Thus, is the only root.
Example Question #79 : Intermediate Single Variable Algebra
Example Question #80 : Intermediate Single Variable Algebra
Solve the quadratic equation using any method:
Use the quadratic formula to solve:
Example Question #1621 : High School Math
Solve the following equation using the quadratic form:
Factor and solve:
or
This has no solutions.
Therefore there is only one solution:
Example Question #1622 : High School Math
Solve the following equation using the quadratic form:
Factor and solve:
or
Therefore the equation has four solutions:
Example Question #1623 : High School Math
Solve the following equation using the quadratic form:
Factor and solve:
or
Therefore the equation has two solutions.
Example Question #1624 : High School Math
Solve the following equation using the quadratic form:
Factor and solve:
Each of these factors gives solutions to the equation: