Mariah started to find the solutions of x2 + 4x + 1 = 0. her work is shown below. x2 + 4x + 1 = 0 x2 + 4x = –1 x2 + 4x + 4 = –1 + 4 (x + 2)2 = 3 which describes the solutions of the equation?

since -2 and 3 are both rational, the sum and difference are both rational
since -2 and /3 are both rational, the sum and difference are both rational
since -2 is rational and /3 is irrational, the sum and difference are irrational.
since /2 is rational and /3 is irrational, the sum and difference are irrational.

Since -2 is rational and √3 is irrational, the sum and difference are irrational.

Step-by-step explanation:

Given equation,

Which is the solution of given equation.

Now, an integer is always a rational number ( that can be expressed as  , where, p and q are integers such that q ≠ 0 ),

So, -2 is a rational number,

Now, √3 can not be expressed as p/q so it is an irrational number,

We know that sum and difference of rational and irrational number is always irrational.

Thus, -2 + √3 and -2 - √3 are irrational.

C

Since –2 is rational and StartRoot 3 EndRoot is irrational, the sum and difference are irrational.

Step-by-step explanation:

the correct answer is a) they believe they have a "just cause."

islamic terrorists justify their violent actions because they believe they have a "just cause."

every act of terrorism of islamic sects is done “in the name of allah”. that justifies their actions. islam people who commit those terrorist attacks are not afraid to die. that is why the attacks have horrible consequences. they know they are going to die and they are proud to do it because it is in the name of allah, so it is justified and is for a “good cause.”

since the very beginning of the conflict with israel, islam is fighting a “sacred war”, respecting the words stated in the qur’an. they fight against the domination of the western countries and to defend their occupied territories.