What are the solutions to the equation 4x^3+4x^2-21x+9=0 ?

The solutions to the equation 4x^3+4x^2-21x+9=0 are x=-3,x= 1/2 ,x= 3/2

Find the zeros of 4x^3+4x^2-21x+9=0

The zeros of 4x^3+4x^2-21x+9=0 are x=-3,x= 1/2 ,x= 3/2

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4 x^{3} + 4 x^{2} - 21 x + 9 = 0

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

Decimal Notation

x = - 3, x = 0.5, x = 1.5

Solution steps

4 x^{3} + 4 x^{2} - 21 x + 9 = 0

Factor

4 x^{3} + 4 x^{2} - 21 x + 9 : (x + 3) (2 x - 1) (2 x - 3)

(x + 3) (2 x - 1) (2 x - 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 3 = 0 or 2 x - 1 = 0 or 2 x - 3 = 0

Solve

x + 3 = 0 : x = - 3

Solve

2 x - 1 = 0 : x = \frac{1}{2}

Solve

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

The solutions are

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

- 42 = 8 - 2 x^{3}

7 x^{4} - 6 x^{2} - 1 = 0

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

x^{4} (x^{3} - 9) = - 8 x

6 + x^{3} = 222

What are the solutions to the equation 4x^3+4x^2-21x+9=0 ?
The solutions to the equation 4x^3+4x^2-21x+9=0 are x=-3,x= 1/2 ,x= 3/2
Find the zeros of 4x^3+4x^2-21x+9=0
The zeros of 4x^3+4x^2-21x+9=0 are x=-3,x= 1/2 ,x= 3/2