help math is bad........
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Answer:[tex]x=5[/tex][tex]or[/tex][tex]x=-5[/tex]
Step-by-step explanation:
To solve the inequality, [tex]-x^{2}+25\leq 0[/tex] (Ignore the line under the less than sign), we have to separate, [tex]x[/tex], and make it alone. So let's rearrange to solve for
[tex]-x^{2}+25\leq 0[/tex]
[tex]-x^{2} \leq -25[/tex]
[tex]x^{2} \leq 25[/tex]
[tex]\sqrt{x^{2} } \leq \sqrt{25}[/tex]
[tex]x=5,-5[/tex]
As you can see, [tex]x[/tex] can be either 5 or -5 because when you square root a number, there is a positive and a negative number. Mostly, teachers tends to ignore the negative number but in math problems like these, the negative number is important.
The final answer is the second multiple choice:
[tex]x=5[/tex][tex]or[/tex][tex]x=-5[/tex]