Question

3x2 +4=0 whats the answer?

Answer 1

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                Hi my lil bunny!

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Lets do this step by step.

Simplify $\frac{3x - 2}{x} -4$.

To write -4 as a fraction with a common denominator, multiply by $\frac{x}{x}$

$\frac{3x - 2}{x} - 4 . \frac{x}{x} > 0$

Combine  -4 and $\frac{x}{x}$.

$\frac{3x - 2}{x} + \frac{-4x}{x} > 0$

Combine the numerators over the common denominator.

$\frac{3x - 2 -4x}{x} > 0$

Subtract 4x from 3x.

$\frac{-x -2}{x} > 0$

Factor -1 out of -x.

$\frac{-(-x) -2}{x} >0$

Rewirte -2 as -1 (2).

$\frac{-(x -1 (2)}{x} > 0$

Factor -1 out of - (x) - 1 (2).

$\frac{-(x + 2)}{x} >0$

Simplify the Expression.

_______________

Rewrite - ( x + 2 ) as -1 ( x + 2 ) .

$\frac{-1 ( x+ 2)}{x} > 0$

Move the negative in front of the fraction.

$- \frac{x + 2}{x} > 0$

Then your going to find all the values where the expression switches from negative to positive by setting each factor equal to 0  and solving.

$x = 0\\x + 2 = 0$

Subtract 2 from both sides of the equation.

$x = -2$

Solve for each factor to find the values where the absolute value expression goes from negative to positive.

$x = 0 \\x = -2$

Consolidate the solutions.

$x = 0, -2$

________________

Find the domain of $\frac{3x - 2}{x} -4$

_________________

Set the denominator in $\frac{3x - 2}{x}$  equal to 0 to find where the expression is undefined.

$x = 0$

The domain is all values of x that make the expression defined.

( - ∞, 0 ) ∪ ( 0 , ∞)

Use each root to create test intervals.

$x < -2 \\-2 < x < 0 \\x > 0$

|Choose a test value from each interval and plug this value into the original inequality to determine which intervals satisfy the inequality.|

Test a value on the interval -2 < x < 0 to see if it makes the inequality true.

Ans : True

Test a value on the interval x > 0 to see if it makes the inequality true.

Ans : False

Test a value on the interval x < -2  to see if it makes the inequality true.

Ans : False

Compare the intervals to determine which ones satisfy the original inequality.

$x < -2 = False\\-2 < x < 0 = True\\x > 0 = False$

The solution consists of all of the true intervals.

$-2 < x < 0$

The result can be shown in multiple forms.

Inequality Form: $-2 < x< 0$

Interval Notation: $( -2 , 0 )$

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Hope this helped you.

Could you maybe give brainliest..?

❀*May*❀

Answer 2

Answer:

False

Step-by-step explanation:

3x2 is 6 and 6 +4 is not 0 it is ten 10 norder of operations