What are the solutions to the equation x^3+x^2-56x+144=0 ?

The solutions to the equation x^3+x^2-56x+144=0 are x=4,x=-9

Find the zeros of x^3+x^2-56x+144=0

The zeros of x^3+x^2-56x+144=0 are x=4,x=-9

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x^{3} + x^{2} - 56 x + 144 = 0

x = 4, x = - 9

Solution steps

x^{3} + x^{2} - 56 x + 144 = 0

Factor

x^{3} + x^{2} - 56 x + 144 : (x - 4)^{2} (x + 9)

(x - 4)^{2} (x + 9) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 4 = 0 or x + 9 = 0

Solve

x - 4 = 0 : x = 4

Solve

x + 9 = 0 : x = - 9

The solutions are

x = 4, x = - 9

x^{4} - 5 x^{3} - 6 x^{2} + 7 x - 2 = 0

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

x^{3} + 8 x^{2} + 37 x + 50

(x - 4)^{4} = x^{4}

2.5 x^{4} + 3 x^{3} - 2.6 x^{2} - 5.1 x - 5.6 = 0

What are the solutions to the equation x^3+x^2-56x+144=0 ?
The solutions to the equation x^3+x^2-56x+144=0 are x=4,x=-9
Find the zeros of x^3+x^2-56x+144=0
The zeros of x^3+x^2-56x+144=0 are x=4,x=-9