Question
Solve
by factoring.
Enter answers separated by a comma.
or
Enter answers separated by a comma.
or
Ask by Gray Johnson. in the United States
Mar 11,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Solution
Solve the equation
.
Solve the quadratic equation by following steps:
Solve the quadratic equation by following steps:
- step0: Solve by factoring:
- step1: Factor the expression:
- step2: Separate into possible cases:
- step3: Solve the equation:
- step4: Rewrite:
The solutions to the equation by factoring are and or .
Answered by UpStudy AI and reviewed by a Professional Tutor
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Bonus Knowledge
To solve the quadratic equation
by factoring, we first look for two numbers that multiply to
and add to
. The numbers
and
satisfy this condition!
Now we can rewrite the equation as:
.
Next, we group the terms:
.
Factoring each group gives us:
.
Now we can factor out
:
.
Setting each factor to zero gives:
or
.
Thus, we find:
or
.
So, the solutions are: