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elixir [45]
3 years ago
11

Solve the quadratic by completing the square.

Mathematics
2 answers:
deff fn [24]3 years ago
7 0

Answer:

x1=(-4+5i)/2

x2=(-4-5i)/2

Step-by-step explanation:

4x^2 +16x+49=8

4x^2+16x+49-8=0

4x^2 +16x+41=0

a=4, b=16, c=41

x1=(-b+sqrt(b^2-4ac))/2a

x2=(-b-sqrt(b^2-4ac))/2a

x1=(-16+sqrt(16^2-4*4*41))/2*4

x1=(-16+sqrt(256-656))/8

x1=(-16+sqrt(-400))/8

x1=(-16+20i)/8

x1=(-4+5i)/2

x2=(-4-5i)/2

Roman55 [17]3 years ago
3 0

Answer:

It's the  second choice: x =  (-4 + 5i) / 2.

Step-by-step explanation:

4x^2 + 16x + 49 = 8

4x^2 + 16x =  8 - 49

4 (x^2 + 4x) =  -41

x^2 + 4x =  -41/4

(x + 2)^2 - 4 = -41/4

(x + 2)^2 = -41/4 + 16/4

(x + 2)^2 =  -25/4

x + 2 =  5i / 2

x =  (-4 + 5i) / 2.

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Step-by-step explanation:

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Help me please 98 math
luda_lava [24]

Answer:

the least common denominator would have to be 77

Step-by-step explanation:

because the product of 11 and 7 equals 77 but there is nothing less than that that can actually be a COMMON denominator

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5 0
3 years ago
1. A bag of 12 oranges costs $2.99. What is the cost per orange?
Reil [10]

Answer:

1- $ 0.25.

2- $ 26.25.

3- $ 1.73.

Step-by-step explanation:

1- Given that a bag of 12 oranges costs $ 2.99, to determine what is the cost per orange, the following calculation must be performed:

2.99 / 12 = X

0.249 = X

Thus, the cost of each orange is $ 0.25.

2- Given that 4 slices of pizza cost $ 10.50, to determine what is the cost of 10 slices of pizza at this rate, the following calculation must be performed:

10.5 / 4 x 10 = X

2.625 x 10 = X

26.25 = X

Thus, the cost of 10 slices of pizza is $ 26.25.

3- Given that 4 pieces of candy cost $ 0.99, to determine what is the cost of 7 pieces of candy at this rate, the following calculation must be performed:

0.99 / 4 x 7 = X

0.2475 x 7 = X

1.7325 = X

Thus, the cost of 7 pieces of candy is $ 1.73.

6 0
3 years ago
There are 26 3rd graders in 32 4th graders going on a field trip each van can carry 10 students how many students will be in eac
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Answer:

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Step-by-step explanation:

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4 0
3 years ago
Juan has blood type A, Lilly has blood type AB, and Aaron has blood type O. Is this relation a function? Explain.
nexus9112 [7]

Answer: Yes, this relation is function.

Step-by-step explanation:

A relation is called function if each input has unique output.

It is given that, Juan has blood type A, Lilly has blood type AB, and Aaron has blood type O.

Juan is related to blood type A.

Lilly is related to blood type AB.

Aaron is related to blood type O.

Here, each input has unique output because here each person has unique blood group.

Therefore, this relation is a function.

3 0
3 years ago
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