What are the solutions to the equation x^3-16x^2+77x-98=0 ?

The solutions to the equation x^3-16x^2+77x-98=0 are x=2,x=7

Find the zeros of x^3-16x^2+77x-98=0

The zeros of x^3-16x^2+77x-98=0 are x=2,x=7

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x^{3} - 16 x^{2} + 77 x - 98 = 0

x = 2, x = 7

Solution steps

x^{3} - 16 x^{2} + 77 x - 98 = 0

Factor

x^{3} - 16 x^{2} + 77 x - 98 : (x - 2) (x - 7)^{2}

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 2 = 0 or x - 7 = 0

Solve

x - 2 = 0 : x = 2

Solve

x - 7 = 0 : x = 7

The solutions are

x = 2, x = 7

4 x^{4} - 9 x^{2} - 2 x + 1 = - 3 x^{3}

y, x^{3} + y^{3} = 9

y, x^{3} + y^{3} = 2

x^{8} = - x^{7} + 3

3 x^{4} - 8 x^{3} + 2 = 0

What are the solutions to the equation x^3-16x^2+77x-98=0 ?
The solutions to the equation x^3-16x^2+77x-98=0 are x=2,x=7
Find the zeros of x^3-16x^2+77x-98=0
The zeros of x^3-16x^2+77x-98=0 are x=2,x=7