Sqrt( 7x ) + 1 = sqrt( 7x + 1 )

Solve it?

Answers

Answer 1
Answer: √(7x) +1 = √(7x+1)

First isolate a square root on the left side:
√(7x) = - 1 + √(7x+1)

Now, delete the radical on the left side, Raise both sides squarely:
(√(7x))^2 = (-1+ √(7x+1) )^2


Thus:
7x = 1 - 2 √(7x+1) + 7x + 1
7x = 7x+1+1-2 √(7x+1)
7x = 7x+2-2 √(7x+1)

Find the radical remainder by isolating a radical on the left side again:
2 √(7x+1) = -\diagup\!\!\!\! 7x+\diagup\!\!\!\! 7x+2
2 √(7x+1) = 2

Now, delete the radical on the left side, Raise both sides squarely:
(2 √(7x+1))^2 = (2)^2

Solving, We have:
2^2(7x+1) = 4
4(7x+1) =4
28x+4 = 4
28x = \diagup\!\!\!\! 4 -\diagup\!\!\!\! 4
28x = 0
x = (0)/(28)
\boxed{x = 0}

Confirm that the solution is correct
Statement equation
√(7x) = - 1 + √(7x+1)

*Replaces "0" in "x"
√(7*0) = - 1 + √(7*0+1)
√(0) = - 1 + √(0+1)
0 = - 1 + √(1)
0 = - \diagup\!\!\!\! 1 + \diagup\!\!\!\! 1
Solution:
\boxed{0 = 0}  (TRUE)









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Answers

Answer:

  about 20

Step-by-step explanation:

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Solve the equation
3(x + 1) = 9+ 2x

Answers

Answer:

x=6

Step-by-step explanation:

So we have the equation:

3(x+1)=9+2x

Distribute the left side:

3x+3=9+2x

Subtract 2x from both sides. The right side cancels:

(3x+3)-2x=(9+2x)-2x\nx+3=9

Subtract 3 from both sides:

(x+3)-3=(9)-3\nx=6

So, x is 6.

3x(x)=3x
3x1=3
3x+3=9+2x

If a 20-foot tree casts a 40-foot shadow, how tall is a tree that casts a 48-foot shadow?

Answers

the tree that casts a 48 foot shadow is 24 feet

If x is not equal to zero, what is the value of 4(3x)^2/(2x)^2

Answers