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Solve

Ask by Floyd Dickson. in the United States
Mar 22,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The solutions are and .

Solution

Solve the equation .
Solve the quadratic equation by following steps:
  • step0: Solve by factoring:
  • step1: Move the expression to the left side:
  • step2: Factor the expression:
  • step3: Separate into possible cases:
  • step4: Solve the equation:
  • step5: Rewrite:

    The solutions to the equation are and .

Answered by UpStudy AI and reviewed by a Professional Tutor

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Simplify this solution

The Deep Dive

To solve the equation , you first need to rearrange it into the standard quadratic form. Subtract 2 from both sides:
.
Next, you can use the quadratic formula where , , and :
Calculating the discriminant:
Now plug that back into the formula:
So, the two solutions are:
  2. .
Thus, the solutions are and .

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