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How do you solve #sqrt(8n-5)-1=2#?

Answer 1

Kennedy Adams

#n=7/4#

#sqrt(8n-5)-1=2# #sqrt(8n-5)=3# #(sqrt(8n-5))^2=3^2# because #sqrt(8n-5)=(8n-5)^(1/2)#, so #(8n-5)^(1/2*2)=8n-5#

#8n-5=9# #8n=14# #n = 14/8=7/4#

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Answer 2

Avery Alexander

To solve the equation sqrt(8n-5)-1=2, we can follow these steps:

Add 1 to both sides of the equation: sqrt(8n-5) = 3.
Square both sides of the equation to eliminate the square root: (sqrt(8n-5))^2 = 3^2.
Simplify the left side of the equation: 8n-5 = 9.
Add 5 to both sides of the equation: 8n = 14.
Divide both sides of the equation by 8: n = 14/8.
Simplify the right side of the equation: n = 7/4.

Therefore, the solution to the equation sqrt(8n-5)-1=2 is n = 7/4.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.