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a_sh-v [17]
3 years ago
14

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

Mathematics
2 answers:
rodikova [14]3 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]3 years ago
4 0

Answer:

Two complex solutions

Step-by-step explanation:

:)

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Really easy math question
Eddi Din [679]

Number of sodas sold = 130

Number of hot dogs sold = 65

Step-by-step explanation:

Given,

Combined number of sodas and hot dogs sold = 195

Let,

x represent the number of sodas sold

y represent the number of hot dogs sold

According to given statement;

x+y=195     Eqn 1

x = 2y        Eqn 2

Putting value of x from Eqn 2 in Eqn 1

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Keywords: linear equation, substitution method

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Kryger [21]

Answer:

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Step-by-step explanation:

Table A:

for x from 1 to 2, Y increased by 6

for x from 2 to 3, Y increased by 18

for x from 3 to 4, Y increased by 54

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Table B:

for x from 1 to 2, Y increased by 6

for x from 2 to 3, Y increased by 10

for x from 3 to 4, Y increased by 14

The increment of Y is higher than a linear increment and smaller than an exponencial increment, so this is the quadratic function.

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for x from 3 to 6, Y increased by -2

for x from 6 to 9, Y increased by -2

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