Solve u(n^2)=2u(n 1)-u(n) 1

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Type your math problem... u(n^2)=2u(n 1)-u(n) 1

Question

Solve the equation

Solve for n

Solve for u

n = 0 n = 1

Evaluate

u n^{2} = 2 u (n \times 1) - u n \times 1

Remove the parentheses

u n^{2} = 2 u n \times 1 - u n \times 1

Simplify

More Steps

Evaluate

2 u n \times 1 - u n \times 1

Any expression multiplied by 1 remains the same

2 u n - u n \times 1

Multiply the terms

2 u n - u n

Collect like terms by calculating the sum or difference of their coefficients

(2 - 1) u n

Subtract the numbers

u n

u n^{2} = u n

Add or subtract both sides

u n^{2} - u n = 0

Factor the expression

More Steps

Evaluate

u n^{2} - u n

Rewrite the expression

u n \times n - u n

Factor out u n from the expression

u n (n - 1)

u n (n - 1) = 0

When the product of factors equals 0,at least one factor is 0

u n = 0 n - 1 = 0

Solve the equation for n

n = 0 n - 1 = 0

Solution

More Steps

Evaluate

n - 1 = 0

Move the constant to the right-hand side and change its sign

n = 0 + 1

Removing 0 doesn't change the value,so remove it from the expression

n = 1

n = 0 n = 1

Show Solution

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