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11Alexandr11 [23.1K]
2 years ago
12

Given (x-1)^2=50, select the values of x

Mathematics
2 answers:
Digiron [165]2 years ago
7 0
(x-1)² = 50
x-1 = <span>±</span>√50

x-1 = -5√2   or   x-1 = 5√2
x = 1-5√2          x = 1+5√2


Lelechka [254]2 years ago
7 0
(x-1)²=50
Square root both side
√(x-1)²=√50
x-1=±√50
Add 1 to each side
x-1+1=1±5√2
x=1±5√2 is your correct answer and if you want me to solve it, here will be the answer.
x=1±5√2
x=1+5√2
x≈8.1

x=1-5√2
x≈-6.1. Hope it help!
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Step-by-step explanation:

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Ray has found that his new car gets 31 miles per gallon on the highwayand 26 miles per gallon in the city. He recently drove 285
Mkey [24]

Answer:

Highway = 155\ miles

City = 130\ miles

Step-by-step explanation:

Given

Highway = 31mi/gallon

City = 26mi/gallon

Total\ Miles = 285

Total\ Gallons = 10

Required

Determine the number of miles driven on the highway and on the city

Represent the gallons used on highway with h and on city with c.

So, we have:

c + h = 10 ---- gallons used

and

31h + 26c = 285 --- distance travelled

In the first equation, make c the subject

c = 10 - h

Substitute 10 - h for c in the second equation

31h + 26c = 285

31h + 26(10 - h) = 285

Open bracket

31h + 260 - 26h = 285

Collect like terms

31h - 26h = 285 - 260

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Make h the subject

h = \frac{25}{5}

h = 5

Substitute 5 for h in c = 10 - h

c = 10 - 5

c = 5

If on the highway, he travels 31 miles per gallon, then his distance on the highway is:

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City = 26 * 5

City = 130\ miles

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2 years ago
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