What are the solutions to the equation 11x^3+15x^2-25x+7=0 ?

The solutions to the equation 11x^3+15x^2-25x+7=0 are x= 7/11 ,x=-1+sqrt(2),x=-1-sqrt(2)

Find the zeros of 11x^3+15x^2-25x+7=0

The zeros of 11x^3+15x^2-25x+7=0 are x= 7/11 ,x=-1+sqrt(2),x=-1-sqrt(2)

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11 x^{3} + 15 x^{2} - 25 x + 7 = 0

x = \frac{7}{11}, x = - 1 + 2, x = - 1 - 2

Decimal Notation

x = 0.63636 \dots, x = 0.41421 \dots, x = - 2.41421 \dots

Solution steps

11 x^{3} + 15 x^{2} - 25 x + 7 = 0

Factor

11 x^{3} + 15 x^{2} - 25 x + 7 : (11 x - 7) (x^{2} + 2 x - 1)

(11 x - 7) (x^{2} + 2 x - 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

11 x - 7 = 0 or x^{2} + 2 x - 1 = 0

Solve

11 x - 7 = 0 : x = \frac{7}{11}

Solve

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

The solutions are

x = \frac{7}{11}, x = - 1 + 2, x = - 1 - 2

x^{3} - 4 x^{2} - 16 x + 64 = 0

15 x - 10 = 6 x - (x^{2}) (- x^{3})

x^{5} - 5 x + 1 = 0

x^{3} = 1 - i

y, 9 y^{2} = 4 x^{3}

What are the solutions to the equation 11x^3+15x^2-25x+7=0 ?
The solutions to the equation 11x^3+15x^2-25x+7=0 are x= 7/11 ,x=-1+sqrt(2),x=-1-sqrt(2)
Find the zeros of 11x^3+15x^2-25x+7=0
The zeros of 11x^3+15x^2-25x+7=0 are x= 7/11 ,x=-1+sqrt(2),x=-1-sqrt(2)