What are the solutions to the equation 4x^3-x^2+100x-25=0 ?

The solutions to the equation 4x^3-x^2+100x-25=0 are x= 1/4 ,x=5i,x=-5i

Find the zeros of 4x^3-x^2+100x-25=0

The zeros of 4x^3-x^2+100x-25=0 are x= 1/4 ,x=5i,x=-5i

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4 x^{3} - x^{2} + 100 x - 25 = 0

x = \frac{1}{4}, x = 5 i, x = - 5 i

Solution steps

4 x^{3} - x^{2} + 100 x - 25 = 0

Factor

4 x^{3} - x^{2} + 100 x - 25 : (4 x - 1) (x^{2} + 25)

(4 x - 1) (x^{2} + 25) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

4 x - 1 = 0 or x^{2} + 25 = 0

Solve

4 x - 1 = 0 : x = \frac{1}{4}

Solve

x^{2} + 25 = 0 : x = 5 i, x = - 5 i

The solutions are

x = \frac{1}{4}, x = 5 i, x = - 5 i

z^{4} + 4 z^{3} + 2 z^{2} - 12 z - 15 = 0

3 a^{3} - 147 a = - 2 a^{2} + 98

695 = 5 x^{3}

z^{3} + 1 - i = 0

2 x^{5} + 5 x = 2215

What are the solutions to the equation 4x^3-x^2+100x-25=0 ?
The solutions to the equation 4x^3-x^2+100x-25=0 are x= 1/4 ,x=5i,x=-5i
Find the zeros of 4x^3-x^2+100x-25=0
The zeros of 4x^3-x^2+100x-25=0 are x= 1/4 ,x=5i,x=-5i