What are the solutions to the equation 7x^3-3x^2-35x+15=0 ?

The solutions to the equation 7x^3-3x^2-35x+15=0 are x= 3/7 ,x=-sqrt(5),x=sqrt(5)

Find the zeros of 7x^3-3x^2-35x+15=0

The zeros of 7x^3-3x^2-35x+15=0 are x= 3/7 ,x=-sqrt(5),x=sqrt(5)

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7 x^{3} - 3 x^{2} - 35 x + 15 = 0

x = \frac{3}{7}, x = - 5, x = 5

Decimal Notation

x = 0.42857 \dots, x = - 2.23606 \dots, x = 2.23606 \dots

Solution steps

7 x^{3} - 3 x^{2} - 35 x + 15 = 0

Factor

7 x^{3} - 3 x^{2} - 35 x + 15 : (7 x - 3) (x + 5) (x - 5)

(7 x - 3) (x + 5) (x - 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

7 x - 3 = 0 or x + 5 = 0 or x - 5 = 0

Solve

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

Solve

x + 5 = 0 : x = - 5

Solve

x - 5 = 0 : x = 5

The solutions are

x = \frac{3}{7}, x = - 5, x = 5

1 - y^{2} = y^{4} - y^{2} + y - 1

64 x^{3} + 24 x^{2} - 6 x - 1 = 0

4 x^{12} = 6

(x - 9) (x^{2} - 36) = 0

2 x^{3} - 6 x^{2} - 6 x + 18 = 0

What are the solutions to the equation 7x^3-3x^2-35x+15=0 ?
The solutions to the equation 7x^3-3x^2-35x+15=0 are x= 3/7 ,x=-sqrt(5),x=sqrt(5)
Find the zeros of 7x^3-3x^2-35x+15=0
The zeros of 7x^3-3x^2-35x+15=0 are x= 3/7 ,x=-sqrt(5),x=sqrt(5)