The solution of this equation is x = 5 and x = 9.
<h3>What is the solution?</h3>
Let us recall that what we have here is a radical equation as follows;
√7x+1 - √x-5 = 6
When we isolate we have';
√7x+1 = √x-5+6
Taking the square of both sides;
(√7x+1)^2 = (√x-5+6)^2
Hence;
7x+1 = x-5+36+12√x-5
-12√x-5 = -7x-1+x-5+36
12√x-5 = 6x-30
Raising this equation to power 2
144x-720 = 36x^2-360x+900
When we rearrange we obtain;
36x2 - 504x + 1620 = 0
Hence;
x = 5 and x = 9
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Answer:
3= 3,6,9,12,15,18,21,24,27,30,33
7=7,14,21,28,.....
the least common multiple is 21
Start by distributing -8 to (8-3n) and -5 to (n+1). The equation becomes:
-64+24n-5n-5=4n-1-8
Next, you can simplify both sides of the equation. It will look like:
-69-19n=4n-9
Next, add 19n to both sides so you isolate the variable on one side of the equation. You will get:
-69=23n-9
Now, you can proceed to solve this like any other two-step equation. Add 9 to both sides:
-78=23n
Divide both sides by 23:
-3.3913=n
Hope this helps!
Answer:
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Step-by-step explanation:
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