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valkas [14]
3 years ago
14

Show all work to solve the equation for x. If a solution is extraneous, be sure to identify it in your final answer.

Mathematics
1 answer:
goldfiish [28.3K]3 years ago
5 0

Answer:

Step-by-step explanation:

\sqrt{x-3} +5=x\\\sqrt{x-3} =x-5\\squaring ~both~sides\\x-3=x^2-10x+25\\x^2-10x-x+25+3=0\\x^2-11x+28=0\\x^2-7x-4x+28=0\\x(x-7)-4(x-7)=0\\(x-7)(x-4)=0\\x=7,4

put x=7 in the given equation

\sqrt{7-3} +5=7\\\sqrt{4} +5=7\\2+5=7\\7=7

which is true .

∴ x=7 is a solution of the given eq.

now put x=4 in the given eq.

\sqrt{4-3} +5=7\\1+5=7\\6=7\\

which is not true.

∴x=4 is an extraneous solution.

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36 increased by twice x is
ICE Princess25 [194]
36 + x  would be your answer. When something is 'increased', you are adding to it. Such as saying 47 increased by -5x is the same as 47 + (-5x).
If this wasn't the answer you were looking for, let me know. For now, I hope this helped:)

4 0
4 years ago
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Why does (-4 1/2)^2 = 20.25? Thank you please hurry!
AnnZ [28]

Answer:

See below.

Step-by-step explanation:

Squaring a number means to multiply the number by itself.

For example, 3^2 means 3 * 3.

8^2 means 8 * 8.

(-6)^2 means (-6) * (-6).

In each case above, you see that the number that is squared is multiplied by itself.

In this case, (-4.5)^2, squaring the number -4.5, means multiply the number -4.5 by the number -4.5

(-4.5)^2 = (-4.5) * (-4.5)

Now we need to actually multiply -4.5 by -4.5

When you multiply a negative number by a negative number, the result is positive, so the product of -4.5 and -4.5 is a positive number. To find that number, you multiply 4.5 by 4.5

4.5 * 4.5 = 20.25

Therefore, (-4.5)^2 = 20.25

4 0
4 years ago
Please help asap 45 pts
trapecia [35]
C) if you multiply it you get w^2 + 7w +11w+77, which is w^2+18w+77
7 0
3 years ago
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Can someone please help me with this question??
steposvetlana [31]

Answer:

450

Step-by-step explanation:

3*150 because the 150is your main number or otherwise known as "b" and then 3 is the multiplier so 3 * 150

6 0
3 years ago
The endpoints of a line segment graphed on a Cartesian coordinate system are (4, 1) and (-2, -4). What are the coordinates of th
Masja [62]
The midpoint of (x1,y1) and (x2,y2) is (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})

just average them


(4,1) and (-2,4)
the midpoint is  (\frac{4-2}{2},\frac{1-4}{2})=(\frac{2}{2},\frac{-3}{2})=(1,-1.5)
5 0
4 years ago
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