What are the solutions to the equation 3x^3+7x^2+147x+343=0 ?

The solutions to the equation 3x^3+7x^2+147x+343=0 are x=-7/3 ,x=7i,x=-7i

Find the zeros of 3x^3+7x^2+147x+343=0

The zeros of 3x^3+7x^2+147x+343=0 are x=-7/3 ,x=7i,x=-7i

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3 x^{3} + 7 x^{2} + 147 x + 343 = 0

x = - \frac{7}{3}, x = 7 i, x = - 7 i

Solution steps

3 x^{3} + 7 x^{2} + 147 x + 343 = 0

Factor

3 x^{3} + 7 x^{2} + 147 x + 343 : (3 x + 7) (x^{2} + 49)

(3 x + 7) (x^{2} + 49) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

3 x + 7 = 0 or x^{2} + 49 = 0

Solve

3 x + 7 = 0 : x = - \frac{7}{3}

Solve

x^{2} + 49 = 0 : x = 7 i, x = - 7 i

The solutions are

x = - \frac{7}{3}, x = 7 i, x = - 7 i

x^{3} - 6 x^{2} + 9 x + 5 = 0

z^{3} + 125 = 0

x^{4} - x - 2 = 0

- \frac{3}{4} x^{5} = 96

x^{3} + x = 0

What are the solutions to the equation 3x^3+7x^2+147x+343=0 ?
The solutions to the equation 3x^3+7x^2+147x+343=0 are x=-7/3 ,x=7i,x=-7i
Find the zeros of 3x^3+7x^2+147x+343=0
The zeros of 3x^3+7x^2+147x+343=0 are x=-7/3 ,x=7i,x=-7i