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

Asked by maham237 @ 25/12/2020 in Mathematics viewed by 313 People

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

Answered by maham237 @ 25/12/2020

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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