What are the solutions to the equation x^3-7x^2+8x+10=0 ?

The solutions to the equation x^3-7x^2+8x+10=0 are x=5,x=1+sqrt(3),x=1-sqrt(3)

Find the zeros of x^3-7x^2+8x+10=0

The zeros of x^3-7x^2+8x+10=0 are x=5,x=1+sqrt(3),x=1-sqrt(3)

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x^{3} - 7 x^{2} + 8 x + 10 = 0

x = 5, x = 1 + 3, x = 1 - 3

Decimal Notation

x = 5, x = 2.73205 \dots, x = - 0.73205 \dots

Solution steps

x^{3} - 7 x^{2} + 8 x + 10 = 0

Factor

x^{3} - 7 x^{2} + 8 x + 10 : (x - 5) (x^{2} - 2 x - 2)

(x - 5) (x^{2} - 2 x - 2) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 5 = 0 or x^{2} - 2 x - 2 = 0

Solve

x - 5 = 0 : x = 5

Solve

x^{2} - 2 x - 2 = 0 : x = 1 + 3, x = 1 - 3

The solutions are

x = 5, x = 1 + 3, x = 1 - 3

x^{4} - 8 x^{9} - 9 = 0

(m^{2} + 1)^{3} (m^{2} + m + 1)^{2} = 0

x^{3} + x = - 1

10 x^{3} + 3 x - 4 = 0

2 x^{3} x^{3} x^{2} = 6144

What are the solutions to the equation x^3-7x^2+8x+10=0 ?
The solutions to the equation x^3-7x^2+8x+10=0 are x=5,x=1+sqrt(3),x=1-sqrt(3)
Find the zeros of x^3-7x^2+8x+10=0
The zeros of x^3-7x^2+8x+10=0 are x=5,x=1+sqrt(3),x=1-sqrt(3)