How do you solve 5sqrt(x+1)=215√x+1=21?

2 Answers
Meave60
May 12, 2018

x=416/25x=41625

Explanation:

Solve:

5sqrt(x+1)=215√x+1=21

Square both sides.

25(x+1)=44125(x+1)=441

Divide both sides by 2525

x+1=441/25x+1=44125

Subtract 11 from both sides.

x=441/25-1x=44125−1

Multiply 11 by 25/252525 to get an equivalent fraction with 2525 as the denominator.

x=441/25-1xx25/25x=44125−1×2525

x=441/25-25/25x=44125−2525

Simplify.

x=416/25x=41625

Evileyebrow
May 12, 2018

Answer = 16.64

Explanation:

5 √(x+1) =215√(x+1)=21

Divide:

(5√x+1)/5 = 21/5 or 4.25√x+15=215or4.2

Square (the opposite of square root):

(√(x+1))^2= 4.2^2 or 17.64(√(x+1))2=4.22or17.64

Subtract:

x+1-1=17.64-1x+1−1=17.64−1

x=16.64x=16.64

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