Given the trinomial 2x2 + 4x + 4, predict the type of solutions.

2 answers:

4 0

Trinomial 2x² + 4x + 4.

It's of the form ax²+bx+c and it's discriminant is Δ=b² - 4.a.c

(in our case Δ = 4² - (4)(2)(4) → Δ = - 32

We know that: x' = -1 + i and x" = -1 - i

If Δ > 0 we have 2 rational solutions x' and x"

If Δ = 0 we have1 rational solution x' = x"

If Δ < 0 we have 2 complex solutions x' and x", that are conjugate

In our example we have Δ = - 16 then <0 so we have 2 complex solutions

That are x'= [-b+√Δ]/2.a and x" = [-b-√Δ]/2.a

x' =

LenaWriter [7]3 years ago

4 0

Answer:

Two complex solutions

Step-by-step explanation:

You might be interested in

Convert 11.42424242 … to a rational expression in the form of , where b ≠ 0.

statuscvo [17]

I think it is the second one but im not for sure

I hope that helped you

4 0

3 years ago

to make lemonade , bart poured 3 gallons of water into a large container . he added 1 gallon of lemon juice. how many quarts of

pentagon [3]

Answer:16quarts

Step-by-step explanation:

4 times 4 is 16 because 4 quarts is one gallon

5 0

3 years ago

The number of small lawns Isabella can rake depends on the amount of time she spends raking. Isabella can rake 3 lawns in 3.75 h

ycow [4]

Answer:

1) 4 2)7

Step-by-step explanation:

1) If we divide 3.75/3=1.25 which is the amount of time she takes per yard so if we add another yard to what she has already done we find she only could do one more yard in 5 hours 3.75+1.25=5.00 So she can only rake 4 yards in 5 hours

2) If we divide 20.25/3=6.75 we find that each ticket is $6.75 so we must divide that by 47.25 to get the amount of tickets 47.25/6.75=7

6 0

3 years ago

I need help with this plss

Zigmanuir [339]

Answer:

Point F is at -3

Step-by-step explanation: