🎁BACK-TO-SCHOOL DEAL. Subscribe Now to get 40% OFF at only 8.49 USD/month, only valid until Sep 30th, 2024

Question

Question
For questions solve each equation. Simplify the final answer as much as possible. Section 9.1 1. 2. 3. 4. 5. Section 9.2 For questions 6-9 solve each equation by completing the square. 6. 7. 8. 9. Section 9.3 For questions 10-12 solve each equation using the quadratic formula. 10. 11. 12.

Asked By DreamChaser34 at

Answered By Expert

Alec

Expert Β· 3.7k answers Β· 3k people helped

Sign in to see the answer

Step 1/2

9.1

1. `5x^2=250`

Divide each term in `5x^(2)=250` by `5` and simplify.`x^(2)=50`

Take the specified root of both sides of the equation to eliminate the exponent on the left side.

`x=\pm \sqrt(50)`Simplify `\pm \sqrt(50)` .`x=\pm 5\sqrt(2)`

The complete solution is the result of both the positive and negative portions of the solution.

`x=5\sqrt(2),-5\sqrt(2)`

2. `3x^2+2=10`

Move all terms not containing `x` to the right side of the equation.`3x^(2)=8`Divide each term in `3x^(2)=8` by `3` and simplify.`x^(2)=(8)/(3)`

Take the specified root of both sides of the equation to eliminate the exponent on the left side.

`x=\pm \sqrt((8)/(3))`Simplify `\pm \sqrt((8)/(3))` .`x=\pm (2\sqrt(6))/(3)`

The complete solution is the result of both the positive and negative portions of the solution.

`x=(2\sqrt(6))/(3),-(2\sqrt(6))/(3)`

Step 2/2

3. `(x-2)^2=16`

Take the specified root of both sides of the equation to eliminate the exponent on the left side.

`x-2=\pm \sqrt(16)`Simplify `\pm \sqrt(16)` .`x-2=\pm 4`

The complete solution is the result of both the positive and negative portions of the solution.

`x=6,-2`

4. `(5x+3)^2=45`

Take the specified root of both sides of the equation to eliminate the exponent on the left side.

`5x+3=\pm \sqrt(45)`Simplify `\pm \sqrt(45)` .`5x+3=\pm 3\sqrt(5)`

The complete solution is the result of both the positive and negative portions of the solution.

`x=(3\sqrt(5))/(5)-(3)/(5),-(3\sqrt(5))/(5)-(3)/(5)`

5. `(2x+6)^2=20`

Take the specified root of both sides of the equation to eliminate the exponent on the left side.

`2x+6=\pm \sqrt(20)`Simplify `\pm \sqrt(20)` .`2x+6=\pm 2\sqrt(5)`

The complete solution is the result of both the positive and negative portions of the solution.

`x=\sqrt(5)-3,-\sqrt(5)-3`

Explanation:

by solving quadratic equation.

Final Answer

Thus we get all answers

πŸ§‘β€πŸ« More Questions

<p><img alt="" src= "https://media.cheggcdn.com/media%2Fd4f%2Fd4fde140-556f-4e41-9e61-81d2dd49c580%2Fphp0mUSAk.png" style="height:200px;width:303px;" /></p> <p>Which of the following is correct?</p>

50. Which of the following is an example of humoral immunity? A. Cytokine storm B. Phagocytic immune response C. Autocrine loop D. Lymphocyte production of antibodies

Alpha Company manufactures breadboxes and uses an activity-based costing system. The following information is provided for the month of May Estimated Quantity of Allocation Base 3,000 parts 3,000 parts Estimated Indirect Activity Materials handling Assembling Activity CostsAllocation Base $3,400 $4,800 Number of parts Number of parts Number of bread boxes Packaging $5,700 1.300 bread boxes Each breadbox consists of four parts, and the direct materials cost per breadbox is $7.80. There is no direct labor. What is the total manufacturing cost per breadbox? (Round any intermediate calculations and your final answer to the nearest cent.) O A. $15.32 B. $18.73 O C. $4.93 O D. $23.12

<p>Which of the following is an example of cultural imperialism?</p> <p>The global belief that a certain country produces the best automotive vehicles.</p> <p>The loss of traditional languages and customs in countries due to westernization.</p> <p>The feeling of disgust a tourist experiences when faced with unusual and unfamiliar foods.</p> <p>The frustration a tourist experiences when visiting countries where their language is not widely spoken.</p>

If YpΔ± = xe” is a particular solution of the differential equation y" – y'=e" and Yp= {(cos x – sin x) is a particular solution of the differential equation y" – y' = sin z, then yp = sin x - cos x - xe" is a particular solution of: Select one: Γ” a. g” - = -2 sin – eΒΊ O b.y" - y' = 2 sin x - el O c.y" – y' = 2e" – 2 sin x O d. y" – y' = em" - cos x O e.y" – y' = sin x - cos x + em