3 years ago

(x – 2)^2 + 20 = 0

Mathematics

1 answer:

seraphim [82]3 years ago

7 0

Answer:

x = 2 ± 2 sqrt(5)i

Step-by-step explanation:

(x – 2)^2 + 20 = 0

Subtract 20 from each side

(x – 2)^2 + 20 -20=0 -20

(x – 2)^2 =- 20

Take the square root of each side

sqrt((x – 2)^2) =±sqrt(- 20)

x-2 = ±sqrt(- 20)

We know sqrt(ab) = sqrt(a) sqrt(b)

x-2 = ±sqrt(- 1) sqrt(20)

We know the sqrt (-1) = i

x-2 = ±i sqrt(4*5)

x-2 = ±i sqrt(4) sqrt(5)

Add 2 to each side

x-2+2 = 2 ±i sqrt(4) sqrt(5)

x = 2 ±i 2 sqrt(5)

x = 2 ± 2 sqrt(5)i

You might be interested in

Which of the following algebraic expressions can be used to express the statement "five less than y squared?" 5 − 2y 2y − 5 y2 −

beks73 [17]

Y2- 5. The answer is this

5 0

3 years ago

Eric has challenged himself to walk 24,000 steps in 4 days. If Eric walks the same number of steps each day, which function repr

Alborosie

If Eric wanted to walk 24,000 steps in 4 days, he would have to walk 6,000 steps each day (24/4=6). The correct answer would be the bottom answer as saying he has already walked 2 days it would be (y=-6,000(2)+24,000) this would simply out to (y=-12,000+24,000) and then (y=12,000).

4 0

3 years ago

the sum of three consecutive integers is 186. what are the integers? the first integer is _ the second integer is _ the third in

UNO [17]

The integers are x - 1, x and x + 1

x - 1 + x + x + 1 = 186
3x = 186
x = 186/3 = 62

Therefore, the numbers are 61, 62 and 63

7 0

3 years ago

Read 2 more answers

the radius and height of a solid right circular cone are in the ratio 5 : 12. If its volume is 314 cm cube. find total surface a

navik [9.2K]

Answer:

Step-by-step explanation: