![chrisk1888](/avatars/25494.jpg)
chrisk1888
24.03.2021 •
Mathematics
Solve it
check for extraneous solutions
Solved
Show answers
More tips
- F Food and Cooking When is Easter in 2011?...
- L Leisure and Entertainment Scrapbooking: What is it and Why is it Becoming More Popular?...
- H Horoscopes, Magic, Divination How to Cast a Love Spell on a Guy? Guide for Guys...
- F Family and Home How to Sew Curtain Tapes: Best Tips from Professionals...
- S Style and Beauty How are artificial nails removed?...
- S Style and Beauty How to Make Your Lips Fuller? Ideas and Tips for Beautiful Lips...
- F Food and Cooking The Disease That Haunted Abraham Lincoln...
- C Computers and Internet How to Get Rid of Windows Genuine Check?...
- H Health and Medicine How to perform artificial respiration?...
- S Style and Beauty Tricks and Tips: How to Get Rid of Freckles...
Answers on questions: Mathematics
- M Mathematics Six times a certain number is 12 more than four times the number. find the number...
- M Mathematics Cindy is shopping for a television. shopping for a television. The original price is $612. Store A has the television on clearance for 30% off Store B has it on clearance for...
- M Mathematics Write and solve an equation to find how many hours Margo practices her flute 1 week...
- M Mathematics Mr.Gilliam is packing gift bags. He has 36 notepads and 45 pens. Each gift bag must contain both items. He puts the same number of notepads in each bag, and the same number...
- M Mathematics When Tyson opens and lays a cereal box out flat, he sees that the top and the bottom of the box both measure 11 inches by 8 inches, the sides of the box both measure 11 inches...
- M Mathematics If statistics professor bought a new car for 35,000 for the next five years she use several automotive webpages to estimate the value of her car she then found the least squares...
- M Mathematics What is the scale factor of a drawing if the scale is 1 inch = 6 feet? but if it 1:72 what is that answer...
- M Mathematics In LMA, the of 90°,the measure og m =39°,Mn=5.3 feet.find the lenght of No to the nearest tenth of a foot....
- M Mathematics If arc BC = 30°, arc AB = 120°, and arc CD = 120°. what is the measure of APD? 20° 30 40° D) 50°...
- M Mathematics HELP me w this question thankyou luvs...
Ответ:
Take note of the domain of possible solutions:
• √(2x + 1) is defined for 2x + 1 ≥ 0, or x ≥ -1/2
• √(x + 1) is defined for x + 1 ≥ 0, or x ≥ -1
So any solutions to this equation must fall in the interval x ≥ -1/2, or [-1/2, ∞).
To solve, move one of the root expressions to the right side, then square both sides:
√(2x + 1) = 2 + √(x + 1))
[√(2x + 1)]² = [2 + √(x + 1))]²
2x + 1 = 4 + 4 √(x + 1) + (x + 1)
Simplify this to
x - 4 = 4 √(x + 1)
and now square both sides again and solve for x :
[x - 4]² = [4 √(x + 1)]²
x ² - 8x + 16 = 16 (x + 1)
x ² - 8x + 16 = 16x + 16
x ² - 24x = 0
x (x - 24) = 0
x = 0 or x - 24 = 0
x = 0 or x = 24
Both of these solutions are greater than -1/2; however, if x = 0, we get
√(2×0 + 1) - √(0 + 1) = √1 - √1 = 1 - 1 = 0 ≠ 2
so the only solution is x = 24.
Ответ:
• √(2x + 1) is defined for 2x + 1 ≥ 0, or x ≥ -1/2
• √(x + 1) is defined for x + 1 ≥ 0, or x ≥ -1
So any solutions to this equation must fall in the interval x ≥ -1/2, or [-1/2, ∞).
To solve, move one of the root expressions to the right side, then square both sides:
√(2x + 1) = 2 + √(x + 1))
[√(2x + 1)]² = [2 + √(x + 1))]²
2x + 1 = 4 + 4 √(x + 1) + (x + 1)
Simplify this to
x - 4 = 4 √(x + 1)
and now square both sides again and solve for x :
[x - 4]² = [4 √(x + 1)]²
x ² - 8x + 16 = 16 (x + 1)
x ² - 8x + 16 = 16x + 16
x ² - 24x = 0
x (x - 24) = 0
x = 0 or x - 24 = 0
x = 0 or x = 24
Both of these solutions are greater than -1/2; however, if x = 0, we get
√(2×0 + 1) - √(0 + 1) = √1 - √1 = 1 - 1 = 0 ≠ 2
so the only solution is x = 24.
Ответ:
62
Step-by-step explanation:
(69+48+57+70+66)/5 =62