Solve 0. -90, where u is a real number. Round your answer to the nearest hundredth. If there is more than one solution, separate them with commas. If there is no solution, click on "No solution".
Solve 0. -90, where u is a real number. Round your answer to the nearest hundredth. If there is more than one solution, separate them with commas. If there is no solution, click on "No solution".
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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![### Solving a Quadratic Equation Using the Square Root Property
**Question:**
Solve \(0.8u^2 = 90\), where \(u\) is a real number. Round your answer to the nearest hundredth.
If there is more than one solution, separate them with commas. If there is no solution, click on "No solution".
**Solution:**
To solve the equation \(0.8u^2 = 90\) using the square root property, follow these steps:
1. **Isolate the quadratic term:**
Divide both sides of the equation by 0.8:
\[
u^2 = \frac{90}{0.8} = 112.5
\]
2. **Apply the square root property:**
Take the square root of both sides of the equation:
\[
u = \pm\sqrt{112.5}
\]
3. **Calculate the square root:**
Find the positive and negative square roots of 112.5:
\[
u = \pm 10.61 \quad \text{(rounded to the nearest hundredth)}
\]
Thus, the two solutions are \(u = 10.61\) and \(u = -10.61\).
**Inputting the Solution:**
- Enter the solutions \(10.61, -10.61\) separated by a comma in the provided input box.
- If prompted, click the check button to verify your solutions.
**Diagram Explanation:**
- A rectangular input box is presented where you are to type in the solutions to the quadratic equation.
- Adjacent to the input box, there are three buttons:
1. A “No solution” button indicating you should click if the equation has no real solutions.
2. A reset button (circular arrow) that allows you to clear your input.
3. A help button (question mark) for additional assistance.
Ensure your final values are entered with precision and correct rounding to match the instructions given.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe9a4d797-fb4e-4740-aaae-e63d5fa53795%2F1aa9c537-9ae2-4c41-8f37-5070fd40056e%2Faqj921_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Solving a Quadratic Equation Using the Square Root Property
**Question:**
Solve \(0.8u^2 = 90\), where \(u\) is a real number. Round your answer to the nearest hundredth.
If there is more than one solution, separate them with commas. If there is no solution, click on "No solution".
**Solution:**
To solve the equation \(0.8u^2 = 90\) using the square root property, follow these steps:
1. **Isolate the quadratic term:**
Divide both sides of the equation by 0.8:
\[
u^2 = \frac{90}{0.8} = 112.5
\]
2. **Apply the square root property:**
Take the square root of both sides of the equation:
\[
u = \pm\sqrt{112.5}
\]
3. **Calculate the square root:**
Find the positive and negative square roots of 112.5:
\[
u = \pm 10.61 \quad \text{(rounded to the nearest hundredth)}
\]
Thus, the two solutions are \(u = 10.61\) and \(u = -10.61\).
**Inputting the Solution:**
- Enter the solutions \(10.61, -10.61\) separated by a comma in the provided input box.
- If prompted, click the check button to verify your solutions.
**Diagram Explanation:**
- A rectangular input box is presented where you are to type in the solutions to the quadratic equation.
- Adjacent to the input box, there are three buttons:
1. A “No solution” button indicating you should click if the equation has no real solutions.
2. A reset button (circular arrow) that allows you to clear your input.
3. A help button (question mark) for additional assistance.
Ensure your final values are entered with precision and correct rounding to match the instructions given.
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