1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
oee [108]
3 years ago
7

Find all solutions to the equation equation (x - 1)^2 = -4.

Mathematics
1 answer:
tatuchka [14]3 years ago
6 0

Answer:

x = 1±2i

Step-by-step explanation:

(x - 1)^2 = -4.

Take the square root of each side

sqrt( (x - 1)^2) = sqrt(-4)

Sqrt(ab) = sqrt(a)sqrt(b)

We know the sqrt(4) = 2 and the sqrt(-1) = ±i

x-1 = ±2i

Add 1 to each side

x-1+1 = 1±2i

x = 1±2i

You might be interested in
PLEASE HELP<br> Solve. x^2+9x+2=0
Nataliya [291]

Answer:

x = (1/2) (-9 ± √73)

Step-by-step explanation:

Using completing the square method

x²+9x+2=0

x²+9x = -2   (complete the square by adding (9/2)² to both sides)

x²+9x + (9/2)² = -2 + (9/2)²

( x + (9/2) )² = -2+ (9/2)²

( x + (9/2) )² = -2+ (81/4)

( x + (9/2) )² = 73/4

x + (9/2)  = ± √(73/4)

x + (9/2)  = ± √(73) / 2

x = -(9/2) ± √(73) / 2  (factorize out (1/2) )

x = (1/2) (-9 ± √73)

8 0
4 years ago
On the scale drawing of a car, the length from bumper to bumper is 6 inches. The car’s actual length, from bumper to bumper, is
dimulka [17.4K]

Answer:

  • 3/8 in/ft
  • 1/32 . . . (pure number, no units)

Step-by-step explanation:

The ratio can be expressed directly as ...

... (6 in)/(16 ft) = 3/8 in/ft

This can be read or used in different ways:

  • 3/8 in = 1 ft
  • 3 in = 8 ft

Or, the units can be made compatible and the ratio expressed as a pure number.

... (1/2 ft)/(16 ft) = (1/32) ft/ft = 1/32

This means whatever measurement is made on the model, the actual vehicle measurement is 32 times that.

4 0
4 years ago
Find the slope of the line that passes through (97,-54) and (-1, -15)
lianna [129]

Answer:

The slope is -39/98

also known as m=-39/98

4 0
3 years ago
Of the following statements, which one or ones describe actions helpful to your credit score?
kiruha [24]
The answer is C.) I and III
4 0
3 years ago
How many integers are there between -8 and 2?<br><br> Group of answer choices
Dahasolnce [82]

Answer:

Step-by-step explanation:

{-7,-6,-5,-4,-3,-2,-1,0,1 }

9 numbers between -8 and 2.

8 0
3 years ago
Other questions:
  • students at a cooking school made a super sized rectangular pizza for a class party Lupita cut the pizza into 3 equal pieces the
    14·1 answer
  • Suppose temperature outside is dropping 3° each hour how much will the temperature change in eight hours?
    8·2 answers
  • Write the ratio in the simplest form 3 cups of sugar to 27 cups of milk
    14·1 answer
  • Please help if you can
    14·1 answer
  • At the bake sale the students earned $48.76. If there were 3 students how much did each student earn
    11·2 answers
  • One angle is 36°. What is the measure of its complement?
    7·2 answers
  • Quiz due today! Please help me. No links! 10 points
    14·2 answers
  • Which number is eqyal to 13​
    14·1 answer
  • Complete each ordered pair so that it is a solution of the given linear equation. x - 3y=4;(.-3), (-11, ) The first ordered pair
    9·1 answer
  • What is the value of x?
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!