What are the solutions to the equation 4x^3-72x^2+420x-784=0 ?

The solutions to the equation 4x^3-72x^2+420x-784=0 are x=4,x=7

Find the zeros of 4x^3-72x^2+420x-784=0

The zeros of 4x^3-72x^2+420x-784=0 are x=4,x=7

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4 x^{3} - 72 x^{2} + 420 x - 784 = 0

x = 4, x = 7

Solution steps

4 x^{3} - 72 x^{2} + 420 x - 784 = 0

Factor

4 x^{3} - 72 x^{2} + 420 x - 784 : 4 (x - 4) (x - 7)^{2}

4 (x - 4) (x - 7)^{2} = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 4 = 0 or x - 7 = 0

Solve

x - 4 = 0 : x = 4

Solve

x - 7 = 0 : x = 7

The solutions are

x = 4, x = 7

0 = 4 x^{4} - 9 x^{2}

r^{3} - 3 r + 2 = 0

z^{5} = 1 - i

(1 - p)^{15} = 0

12 x^{3} + 24 x^{2} - 12 x - 24 = 0

What are the solutions to the equation 4x^3-72x^2+420x-784=0 ?
The solutions to the equation 4x^3-72x^2+420x-784=0 are x=4,x=7
Find the zeros of 4x^3-72x^2+420x-784=0
The zeros of 4x^3-72x^2+420x-784=0 are x=4,x=7