Question

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

Answer 1

Given the trinomial 2x2 + 4x + 4, predict the type of solutions
D = 4² - 4(2)(4) = 16 -32 = -16
the determinate is less than 0 meaning 2 complex roots or solutions
D
i got this problem once

Answer 2

d. Two complex solutions

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<0\text{ means two complex zeroes}`

`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.