What are the solutions to the equation (1+r)^6=8000 ?

The solutions to the equation (1+r)^6=8000 are r=2sqrt(5)-1,r=-2sqrt(5)-1

Find the zeros of (1+r)^6=8000

The zeros of (1+r)^6=8000 are r=2sqrt(5)-1,r=-2sqrt(5)-1

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(1 + r)^{6} = 8000

r = 25 - 1, r = - 25 - 1

Decimal

r = 3.47213 \dots, r = - 5.47213 \dots

Solution steps

(1 + r)^{6} = 8000

For

(g (x))^{n} = f (a)

, n is even, the solutions are

g (x) = n f (a), - n f (a)

Solve

1 + r = 68000 : r = 25 - 1

Solve

1 + r = - 68000 : r = - 25 - 1

The solutions are

r = 25 - 1, r = - 25 - 1

x^{4} (x - 1) + x^{3} (x - 1) = 0

x^{3} - 4 x^{2} + 5 x - 2 = 0

x^{33} x^{2} x^{3} = 0

(25)^{150} = 25 x^{50}

2 x^{4} - 8 x^{2} + 8 = 0

What are the solutions to the equation (1+r)^6=8000 ?
The solutions to the equation (1+r)^6=8000 are r=2sqrt(5)-1,r=-2sqrt(5)-1
Find the zeros of (1+r)^6=8000
The zeros of (1+r)^6=8000 are r=2sqrt(5)-1,r=-2sqrt(5)-1