Question
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Solve the following equation using the quadratic formula:
1st attempt
See Periodic Table
Express values to a minimum of two significant figures.
The obtained from the “plus” operation = The obtained from the “minus” operation=

Ask by Martin O'Quinn. in the United States
Jan 24,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The values are approximately 2.3 and -1.9.

Solution

To solve the quadratic equation using the quadratic formula, follow these steps:
The quadratic formula is:
Step 1: Identify the coefficients
Step 2: Substitute the coefficients into the quadratic formula
Step 3: Calculate the square root
Step 4: Solve for the two possible values of
  1. Using the “plus” operation:
  2. Using the “minus” operation:
Step 5: Round to a minimum of two significant figures
  • The obtained from the “plus” operation =
  • The obtained from the “minus” operation =

Answered by UpStudy AI and reviewed by a Professional Tutor

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Simplify this solution

Extra Insights

To solve the equation using the quadratic formula, we first identify the coefficients: , , and . Plugging these values into the formula gives us:
Calculating inside the square root:
So it becomes:
Now calculating the two potential values:
  1. For the “plus” operation:
  1. For the “minus” operation:
The values of are:
The obtained from the “plus” operation =
The obtained from the “minus” operation=
This equation not only flexes your mathematical muscles but connects to real-world situations, especially in physics for projectile motion or calculating areas. Plus, practicing with quadratics boosts your problem-solving prowess, keeping your brain sharp!

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