What are the solutions to the equation 5x^3+7x^2-11x+3=0 ?

The solutions to the equation 5x^3+7x^2-11x+3=0 are x= 3/5 ,x=-1+sqrt(2),x=-1-sqrt(2)

Find the zeros of 5x^3+7x^2-11x+3=0

The zeros of 5x^3+7x^2-11x+3=0 are x= 3/5 ,x=-1+sqrt(2),x=-1-sqrt(2)

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

x = \frac{3}{5}, x = - 1 + 2, x = - 1 - 2

Decimal

x = 0.6, x = 0.41421 \dots, x = - 2.41421 \dots

Solution steps

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

Factor

5 x^{3} + 7 x^{2} - 11 x + 3 : (5 x - 3) (x^{2} + 2 x - 1)

(5 x - 3) (x^{2} + 2 x - 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

5 x - 3 = 0 or x^{2} + 2 x - 1 = 0

Solve

5 x - 3 = 0 : x = \frac{3}{5}

Solve

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

The solutions are

x = \frac{3}{5}, x = - 1 + 2, x = - 1 - 2

z^{4} = - 2 + 23 i

x (x + 7) (x^{2} + 49) = 0

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

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

x^{3} + 3 x^{2} + 9 x + 27 = 0

What are the solutions to the equation 5x^3+7x^2-11x+3=0 ?
The solutions to the equation 5x^3+7x^2-11x+3=0 are x= 3/5 ,x=-1+sqrt(2),x=-1-sqrt(2)
Find the zeros of 5x^3+7x^2-11x+3=0
The zeros of 5x^3+7x^2-11x+3=0 are x= 3/5 ,x=-1+sqrt(2),x=-1-sqrt(2)