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Dafna1 [17]
3 years ago
9

For what values of x does 25^x = 5^x^2-3?

Mathematics
2 answers:
weeeeeb [17]3 years ago
6 0
Attached solution with detailed work.

ipn [44]3 years ago
4 0

Answer:

It's B on edge.

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Find the real solution(s) of the equation. Round your answer to two decimal places when appropriate. 5x^6=30
Elina [12.6K]

Answer:

The real solutions are

x=\sqrt[6]{6}\approx 1.35\\\\\:x=-\sqrt[6]{6}\approx -1.35

Step-by-step explanation:

The solution, or root, of an equation is any value or set of values that can be substituted into the equation to make it a true statement.

To find the real solutions of the equation 5x^6=30:

\mathrm{Divide\:both\:sides\:by\:}5\\\\\frac{5x^6}{5}=\frac{30}{5}\\\\\mathrm{Simplify}\\\\x^6=6\\\\\mathrm{For\:}x^n=f\left(a\right)\mathrm{,\:n\:is\:even,\:the\:solutions\:are\:}x=\sqrt[n]{f\left(a\right)},\:-\sqrt[n]{f\left(a\right)}\\\\x=\sqrt[6]{6}\approx 1.35\\\\\:x=-\sqrt[6]{6}\approx -1.35

7 0
3 years ago
the average rainfall in Clearview is 38 inches . this year 29.777 inches fell . How much less rain fell this year than falls in
dexar [7]
38 (average) - 29.777 (this year) = 8.223 inches less this year than the average year.
6 0
4 years ago
What is the solution to 2sin^(2)x+sinx+1=0
Alexus [3.1K]
Well you can try rewriting it to this

answer is   d  270

first start of by factoring  and subtracting the 1 into the right side

sin(x)  ( 2 sin (x)  + 1)  = -1  

set each one equal to -1 

sin( x) = -1   and   2 sin (x) +1 =  -1 

                              2 sin (x) = -2
                               sin ( x) = -1 
so therefore we have our final equation

sin ( x )  = - 1  and sin (x) = -1 

so then you look in your unit circle and find what coordinate equals -1 in terms of sin x 

3 0
4 years ago
Juno calculated the area of a square to be 4/9 square yard. Which shows the side length of the square?
Stella [2.4K]
\bf \textit{area of a square}\\\\
A=s^2~~
\begin{cases}
s=side's~length\\
--------\\
A=\frac{4}{9}
\end{cases}\implies \cfrac{4}{9}=s^2
\\\\\\
\sqrt{\cfrac{4}{9}}=s\implies \cfrac{\sqrt{4}}{\sqrt{9}}=s\implies \cfrac{2}{3}=s
3 0
3 years ago
Please help me on this question
Masja [62]

Answer:

The number is 5

Step-by-step explanation:

Let x be the number

3x+5+x = 25

Combine like terms

4x+5 = 25

Subtract 5 from each side

4x+5-5 = 25-5

4x = 20

Divide by 4

4x/4 = 20/4

x = 5

8 0
4 years ago
Read 2 more answers
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