What are the solutions to the equation 84x^3-71x^2-117x-28=0 ?

The solutions to the equation 84x^3-71x^2-117x-28=0 are x=-1/3 ,x=-4/7 ,x= 7/4

Find the zeros of 84x^3-71x^2-117x-28=0

The zeros of 84x^3-71x^2-117x-28=0 are x=-1/3 ,x=-4/7 ,x= 7/4

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84 x^{3} - 71 x^{2} - 117 x - 28 = 0

x = - \frac{1}{3}, x = - \frac{4}{7}, x = \frac{7}{4}

Decimal Notation

x = - 0.33333 \dots, x = - 0.57142 \dots, x = 1.75

Solution steps

84 x^{3} - 71 x^{2} - 117 x - 28 = 0

Factor

84 x^{3} - 71 x^{2} - 117 x - 28 : (3 x + 1) (7 x + 4) (4 x - 7)

(3 x + 1) (7 x + 4) (4 x - 7) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

3 x + 1 = 0 or 7 x + 4 = 0 or 4 x - 7 = 0

Solve

3 x + 1 = 0 : x = - \frac{1}{3}

Solve

7 x + 4 = 0 : x = - \frac{4}{7}

Solve

4 x - 7 = 0 : x = \frac{7}{4}

The solutions are

x = - \frac{1}{3}, x = - \frac{4}{7}, x = \frac{7}{4}

X^{4} - 3 X^{2} = 0

3 x^{3} + 1 6^{2} = 12 x

x, 3 x^{4} = 81 x

x^{2} + 1 = 4 x^{4} x

2 - x = x^{4}

What are the solutions to the equation 84x^3-71x^2-117x-28=0 ?
The solutions to the equation 84x^3-71x^2-117x-28=0 are x=-1/3 ,x=-4/7 ,x= 7/4
Find the zeros of 84x^3-71x^2-117x-28=0
The zeros of 84x^3-71x^2-117x-28=0 are x=-1/3 ,x=-4/7 ,x= 7/4