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pergu ntail1p ontol as ra izes d a equa cao y^3-9y=0 sao. 3e -3 joeg 0e3 0 -9 e 9 -3 e 3

Question

Pergu ntail1p ontol As ra izes d a equa cao y^3-9y=0 sao. 3e -3 joeg 0e3 0 -9 e 9 -3 e 3

Solution

Verificación de expertos
4.5 (55 Votos)
Julia Especialista · Tutor por 3 anos

Resposta

The roots of the equation are 0, 3, and -3.

Explicação

## Step 1The given equation is . We can rewrite this equation by factoring out the common factor, which is . This gives us \(y(y^2 - 9) = 0\).## Step 2Next, we notice that the term is a difference of squares. This can be factored into \((y - 3)(y + 3)\).## Step 3Substituting the factored form of into the equation, we get \(y(y - 3)(y + 3) = 0\).## Step 4Setting each factor equal to zero gives us the solutions for . If , the equation is satisfied. If , then . If , then .