What are the solutions to the equation 4a^4+56a^3+196a^2=0 ?

The solutions to the equation 4a^4+56a^3+196a^2=0 are a=0,a=-7

Find the zeros of 4a^4+56a^3+196a^2=0

The zeros of 4a^4+56a^3+196a^2=0 are a=0,a=-7

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4 a^{4} + 56 a^{3} + 196 a^{2} = 0

a = 0, a = - 7

Solution steps

4 a^{4} + 56 a^{3} + 196 a^{2} = 0

Factor

4 a^{4} + 56 a^{3} + 196 a^{2} : 4 a^{2} (a + 7)^{2}

4 a^{2} (a + 7)^{2} = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

a = 0 or a + 7 = 0

Solve

a + 7 = 0 : a = - 7

The solutions are

a = 0, a = - 7

3 x^{3} - 24 x + 36 = 0

- x^{3} + 4 x^{2} - 9 x - 6 = 0

z^{4} = - 1 + 3 i

x = - 1.3 x^{3} - 4 x^{2} - 13 x - 6

(\frac{1}{5}) x^{5} = 1

What are the solutions to the equation 4a^4+56a^3+196a^2=0 ?
The solutions to the equation 4a^4+56a^3+196a^2=0 are a=0,a=-7
Find the zeros of 4a^4+56a^3+196a^2=0
The zeros of 4a^4+56a^3+196a^2=0 are a=0,a=-7