5. Solve by using the square root property.(x - 3)² +6=1

Mathematics

1 answer:

Veseljchak [2.6K]3 years ago

6 0

Answer:

x = 3 + i+√5

x = 3 + i-√5

x= 4 - √6

x= 4 +√6

Step-by-step explanation:

(x - 3)² +6=1

(x - 3)² + 6 = 1

-6 -6

sq root > (x - 3)² = -5

x-3 = i±√5 (i because neg. number)

x = 3 + i±√5

since its ±

two possible answers

x = 3 + i+√5

x = 3 + i-√5

(x - 3)² +6=1

(x-3)+ √6= √ 1

x-3 = 1 - (±) √6

x= 4 - (±) √6

Answers

x= 4 - √6

x= 4 +√6

You might be interested in

Math question on big ideas math the 1/3 confuses me I hate fractions

jok3333 [9.3K]

a simple way to do away with denominators, is we can simply multiply both sides by the LCD, in this case the LCD is 3, so let's multiply both sides by 3.

$\bf 3\left( \cfrac{1}{3}x+y \right)=3(4)\implies x+3y=12\implies 3y=12-x
\\\\\\
y=\cfrac{12-x}{3}\implies \stackrel{\textit{distributing the denominator}}{y=\cfrac{12}{3}-\cfrac{x}{3}}\implies y=4-\cfrac{1}{3}x$

6 0

3 years ago

Daniel Potter bought a new car for $20,000.00. Two years later, he wanted to sell it. He was offered $14,650.00 for it. If he so

olga_2 [115]

Answer: 13.375% per year

Explanation:

1) Depreciation is the loss of value: $ 20,000.00 - $ 14,650.00 = $ 5,350

2) The percent of depreciation is amount of the depreciation divided by the value of the car when purchased, times 100.

That is (5,350 / $ 20,000) * 100 = 26.75 %

2) The rate is percent of depreciation per year:

depreciation rate = % of depreciation / number of years = 26.75% / 2 = 13.375% per year.

5 0

3 years ago

Read 2 more answers

Simultaneous Equations <br> 2x+4y=22 <br> 2x+2y=15

Aleks04 [339]

Answer:

x = 4

y = $\frac{7}{2}$