What are the solutions to the equation 7x^3+11x^2-13x+3=0 ?

The solutions to the equation 7x^3+11x^2-13x+3=0 are x= 3/7 ,x=-1+sqrt(2),x=-1-sqrt(2)

Find the zeros of 7x^3+11x^2-13x+3=0

The zeros of 7x^3+11x^2-13x+3=0 are x= 3/7 ,x=-1+sqrt(2),x=-1-sqrt(2)

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7 x^{3} + 11 x^{2} - 13 x + 3 = 0

x = \frac{3}{7}, x = - 1 + 2, x = - 1 - 2

Decimal

x = 0.42857 \dots, x = 0.41421 \dots, x = - 2.41421 \dots

Solution steps

7 x^{3} + 11 x^{2} - 13 x + 3 = 0

Factor

7 x^{3} + 11 x^{2} - 13 x + 3 : (7 x - 3) (x^{2} + 2 x - 1)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

7 x - 3 = 0 : x = \frac{3}{7}

Solve

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

The solutions are

x = \frac{3}{7}, x = - 1 + 2, x = - 1 - 2

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

x^{3} = 8 i

4 x^{3} = 0.2 5^{\frac{1}{2}}

x^{4} - 4 x = 0

x, 12 x^{5} = (4 x^{2}) (C)

What are the solutions to the equation 7x^3+11x^2-13x+3=0 ?
The solutions to the equation 7x^3+11x^2-13x+3=0 are x= 3/7 ,x=-1+sqrt(2),x=-1-sqrt(2)
Find the zeros of 7x^3+11x^2-13x+3=0
The zeros of 7x^3+11x^2-13x+3=0 are x= 3/7 ,x=-1+sqrt(2),x=-1-sqrt(2)