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a_sh-v [17]
2 years ago
14

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

Mathematics
2 answers:
rodikova [14]2 years ago
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]2 years ago
4 0

Answer:

Two complex solutions

Step-by-step explanation:

:)

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The length of a rectangular deck is five times it's width if the decks perimeter is 24 feet what is the decks area
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Answer:

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Step-by-step explanation:

The length of a rectangular deck is five times it's width if the decks perimeter is 24 feet what is the decks area

Step 1

We find the Length and Width of the deck

Perimeter of a rectangle = 2L + 2W

The length of a rectangular deck is five times it's width

W = Width

L = Length = 5W

P = 24 feet

Perimeter = 2(5W) + 2W

24 = 10W + 2W

24 = 12 W

W = 24/12

W = 2 feet

Solving for L

L = 5W

L = 5 × 2 feet

L = 10 feet

Step 2

We find the area of the deck

Area of the deck(Rectangle) = Length × Width

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= 20 square feet

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