What is the undefined value for 22=4+5x9x−6

Question

22
=
4
+
5
𝑥
9
𝑥
−
6
?

Write your answer in reduced fraction form, if applicable.

(1 point)
The undefined value is .

Answer 1

To find the undefined value in the equation $22=4+5x9x-6$, we first need to clarify what the equation represents.

Assuming that $5x9x$ means $5\cdot x\cdot 9\cdot x$, we can write the equation as follows:

$$22=4+45x^2-6$$

Combining like terms on the right-hand side:

$$22=45x^2-2$$

Now, rearranging to set the equation to zero:

$$45x^2-2-22=0$$ $$45x^2-24=0$$ $$45x^2=24$$ $$x^2=\frac{24}{45}$$ $$x^2=\frac{8}{15}$$

Now, taking the square root of both sides gives us:

$$x=\pm \sqrt{\frac{8}{15}}=\pm \frac{2\sqrt{2}}{\sqrt{15}}=\pm \frac{2\sqrt{30}}{15}$$

After confirming that all steps are correct, we observe the equation appears to be defined for all values of $x$ except those that make the original equation unresolved.

However, it seems like the problem posed had some misunderstanding regarding finding an "undefined value." Typically in quadratic equations, solutions do not result in undefined values unless looking for specific limits or divisions by zero. If there is any further information or context around this function, we can revise our answer.

Given the lack of context and working through the manipulations, it does not lead to an undefined operation in standard forms of algebra, which typically arise from division by zero or taking square roots of negative numbers.

If you meant to cross-check for undefined values in other functions or forms within the equation context, please provide that information, and I can revise the approach accordingly. For this particular equation, all x-values leading to real solutions exist, thus implying no such undefined operational value appears. Therefore, we conclude:

The undefined value is none, as there are no values of x producing an undefined result.