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ivolga24 [154]
3 years ago
14

Given the trinomial 2x*2 + 4x + 4, predict the type of solutions. a. Two rational solutions b. One rational solution c. Two irra

tional solutions d. Two complex solutions
Mathematics
2 answers:
Shtirlitz [24]3 years ago
5 0
Given the trinomial 2x2<span> + 4x + 4, predict the type of solutions
</span><span>D = 4² - 4(2)(4) = 16 -32 = -16</span><span>
the determinate is less than 0 meaning 2 complex roots or solutions
D
i got this problem once

</span>
OverLord2011 [107]3 years ago
3 0

Answer:

d. Two complex solutions

Step-by-step explanation:

We have been given a trinomial 2x^2+4x+4 and we are supposed to predict the type of solutions of our given trinomial.

We will use discriminant formula to solve for our given problem.

\text{Discriminant}=b^2-4ac, where,

a =\text{Coefficient of }x^2,

b =\text{Coefficient of }x,

c =\text{Constant }

Conclusion from the result of Discriminant are:

D

D=0\text{ means one real zero with of multiplicity two}

D>0\text{ means two distinct zeroes}

Upon substituting our given values in above formula we will get,

\text{Discriminant}=4^2-4*2*4

\text{Discriminant}=16-32

\text{Discriminant}=-16

Since our discriminant is less than zero, therefore, out given trinomial will have two complex solutions and option d is the correct choice.

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