What are the solutions to the equation 2x^3-3x^2-14x+21=0 ?

The solutions to the equation 2x^3-3x^2-14x+21=0 are x= 3/2 ,x=-sqrt(7),x=sqrt(7)

Find the zeros of 2x^3-3x^2-14x+21=0

The zeros of 2x^3-3x^2-14x+21=0 are x= 3/2 ,x=-sqrt(7),x=sqrt(7)

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2 x^{3} - 3 x^{2} - 14 x + 21 = 0

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

Decimal Notation

x = 1.5, x = - 2.64575 \dots, x = 2.64575 \dots

Solution steps

2 x^{3} - 3 x^{2} - 14 x + 21 = 0

Factor

2 x^{3} - 3 x^{2} - 14 x + 21 : (2 x - 3) (x + 7) (x - 7)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

2 x - 3 = 0 : x = \frac{3}{2}

Solve

x + 7 = 0 : x = - 7

Solve

x - 7 = 0 : x = 7

The solutions are

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

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

x^{4} - x^{3} - 3 x^{2} + 5 x - 2 = 0

x^{3} - 34 x + 12 = 0

r^{3} - 2 r^{2} - 5 r + 6 = 0

y, x = y^{3} + 5

What are the solutions to the equation 2x^3-3x^2-14x+21=0 ?
The solutions to the equation 2x^3-3x^2-14x+21=0 are x= 3/2 ,x=-sqrt(7),x=sqrt(7)
Find the zeros of 2x^3-3x^2-14x+21=0
The zeros of 2x^3-3x^2-14x+21=0 are x= 3/2 ,x=-sqrt(7),x=sqrt(7)