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
mel-nik [20]
3 years ago
11

How do i solve x squared = 4x -5

Mathematics
1 answer:
ICE Princess25 [194]3 years ago
6 0

Answer:

x = 2 ±i

Step-by-step explanation:

x^2 = 4x-5

Subtract 4x from each side

x^2 - 4x = 4x-5 -4x

x^2 - 4x= -5

Complete the square

Take the coefficient of the x term, divide by 2 and square it

-4/2 =2   2^2 =4

Add 4 to each side

x^2 -4x+4 = -5 +4

The left side is (x-coefficient of the x term/2)^2

(x-2)^2 = -1

Take the square root of each side

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

x-2 = ±i

Add 2 to each side

x-2+2 = 2 ±i

x = 2 ±i

You might be interested in
For the parallelogram ABCD the extensions of the angle bisectors AG and BH intersect at point P. Find the area of the parallelog
natita [175]

Answer:

The area of a parallelogram is 360 in.²

Step-by-step explanation:

Where DG = GH

GP = 12 in.

AB = 39 in.

∠DAB + ∠ABC = 180° (Adjacent angles of a parallelogram)

Whereby ∠DAB is bisected by AG and ∠ABC is bisected by BH

Therefore, ∠GAB + ∠HBA = 90°

Hence, ∠BPA = 90° (Sum of interior angles of a triangle)

cos(\angle GAB) = \dfrac{AP}{AB} = \dfrac{AP}{39} = \dfrac{GP}{GH} =\dfrac{12}{GH}

We note that ∠AGD = ∠GAB (Alternate angles of parallel lines)

∴ ∠AGD = ∠AGD since ∠AGD = ∠GAB (Bisected angle)

Hence AD = DG (Side length of isosceles triangle)

The bisector of ∠ADG is parallel to BH and will bisect AG at point Q

Hence ΔDAQ  ≅ ΔDGQ ≅ ΔGPH and AQ = QG = GP

Hence, AP = 3 × GP = 3 × 12 = 36

cos(\angle GAB) = \dfrac{AP}{AB} = \dfrac{36}{39}

\angle GAB = cos^{-1} \left (\dfrac{36}{39}  \right )

∠GAB = 22.62°

cos(\angle GAB) =  \dfrac{36}{39} = \dfrac{12}{GH}

GH =  \dfrac{39}{36} \times {12}

GH = 13 in.

∴ AD 13 in.

BP = 39 × sin(22.62°) = 15 in.

GH = √(GP² + HP²)

∠DAB = 2 × 22.62° = 45.24°

The height of the parallelogram = AD × sin(∠DAB) =  13 × sin(45.24°)

The height of the parallelogram = 120/13 =  9.23 in.

The area of a parallelogram = Base × Height = (120/13) × 39 = 360 in.²

7 0
3 years ago
Read 2 more answers
My dad is 5ft8 my mom is 5ft5 how tall will I be when I grow up?
Ipatiy [6.2K]
I do not know jekejejejejrjriekeje
4 0
3 years ago
Read 2 more answers
To paint a house, a painting company charges a flat rate of $500 for supplies, plus $50 for each hour of labor.
sattari [20]

Answer:

50x20=1000+500= 1500

50x50=2500+500=3000

Step-by-step explanation:

7 0
2 years ago
What is the slope of the line that contains the points (-1, 2) and (4, 3)?
Vika [28.1K]

Answer:

Slope: 1/5

Step-by-step explanation:

-1,2

4,3

-1 - 2 = -1

-1 - 4 = -5

-1/-5 = 1/5

6 0
2 years ago
Shawn picked some vegetables from his garden.he picked 2.234 pounds of corn 2.205 pounds of tomatoes and 2.25 pounds of potatoes
Tatiana [17]

Answer: The correct answer is H.

Step-by-step explanation: The correct order of the weights from largest to smallest is shown in choice H. The correct order is 2.25, 2.234, 2.205.

5 0
3 years ago
Other questions:
  • HELPPPPPPPPPPPPPPPPPPP HURRY
    7·1 answer
  • What is the vertex, maximum or minimum, y-intercept, & roots of h(t)= -4.9t^2+14.7t
    12·1 answer
  • There are 246 students going on a field trip to pan for gold if they are going in vans that hold 9 students each how many vans a
    11·1 answer
  • Given two dependent random samples with the following results:
    7·1 answer
  • A group of 8 students apply for MBA program at CBA, CSULB. According to the historical data, probability of admittance at MBA pr
    7·1 answer
  • The captain of a submarine orders the crew
    5·1 answer
  • 4x + 3y = 5<br> 2x – y=5<br> Use substitution method
    11·1 answer
  • Similar triangles help!!
    8·1 answer
  • Here's a graph of a linear function. Write the
    7·1 answer
  • A square based prism and a cylinder both have the same height of 4cm and the same base area. If the volume of the square based p
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!