What is the answer to 1222sqrt(n)-1222sqrt(n-1)=159 ?

The answer to 1222sqrt(n)-1222sqrt(n-1)=159 is n=(1468003^2+388596^2)/(388596^2)

Solve for n: 1222sqrt(n)-1222sqrt(n-1)=159

The solution is n=(1468003^2+388596^2)/(388596^2)

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1222 n - 1222 n - 1 = 159

n = \frac{146800 3 ^{2} + 38859 6 ^{2}}{38859 6 ^{2}}

Decimal

n = 15.27109 \dots

Solution steps

1222 n - 1222 n - 1 = 159

Remove square roots

146800 3^{2} = 38859 6^{2} n - 38859 6^{2}

Solve

146800 3^{2} = 38859 6^{2} n - 38859 6^{2} : n = \frac{146800 3 ^{2} + 38859 6 ^{2}}{38859 6 ^{2}}

n = \frac{146800 3 ^{2} + 38859 6 ^{2}}{38859 6 ^{2}}

Verify Solutions:

n = \frac{146800 3 ^{2} + 38859 6 ^{2}}{38859 6 ^{2}}

True

The solution is

n = \frac{146800 3 ^{2} + 38859 6 ^{2}}{38859 6 ^{2}}

3 x + 4 - 2 = 2

1 - x = 3

\frac{1}{9 x ^{\frac{8}{9}}} = 0

x^{- 3} - 9 x^{- \frac{3}{2}} + 8 = 0

3 x - 4 = 15

What is the answer to 1222sqrt(n)-1222sqrt(n-1)=159 ?
The answer to 1222sqrt(n)-1222sqrt(n-1)=159 is n=(1468003^2+388596^2)/(388596^2)
Solve for n: 1222sqrt(n)-1222sqrt(n-1)=159
The solution is n=(1468003^2+388596^2)/(388596^2)