Question
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=
See Periodic Table
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
-
Using the “plus” operation:
-
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 =
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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:
- For the “plus” operation:
- For the “minus” operation:
The values of
are:
The obtained from the “plus” operation =
The obtained from the “minus” operation=
The
The
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!