What are the solutions to the equation 70x^4-181x^3+116x^2+x=6 ?

The solutions to the equation 70x^4-181x^3+116x^2+x=6 are x=1,x= 3/2 ,x=-1/5 ,x= 2/7

Find the zeros of 70x^4-181x^3+116x^2+x=6

The zeros of 70x^4-181x^3+116x^2+x=6 are x=1,x= 3/2 ,x=-1/5 ,x= 2/7

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70 x^{4} - 181 x^{3} + 116 x^{2} + x = 6

x = 1, x = \frac{3}{2}, x = - \frac{1}{5}, x = \frac{2}{7}

Decimal Notation

x = 1, x = 1.5, x = - 0.2, x = 0.28571 \dots

Solution steps

70 x^{4} - 181 x^{3} + 116 x^{2} + x = 6

Move

6

to the left side

70 x^{4} - 181 x^{3} + 116 x^{2} + x - 6 = 0

Factor

70 x^{4} - 181 x^{3} + 116 x^{2} + x - 6 : (x - 1) (2 x - 3) (5 x + 1) (7 x - 2)

(x - 1) (2 x - 3) (5 x + 1) (7 x - 2) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 1 = 0 or 2 x - 3 = 0 or 5 x + 1 = 0 or 7 x - 2 = 0

Solve

x - 1 = 0 : x = 1

Solve

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

Solve

5 x + 1 = 0 : x = - \frac{1}{5}

Solve

7 x - 2 = 0 : x = \frac{2}{7}

The solutions are

x = 1, x = \frac{3}{2}, x = - \frac{1}{5}, x = \frac{2}{7}

2 x^{3} - 3 x^{2} - 8 x + 12 = 0

x^{4} - 5 x^{2} = - 4

x^{3} = x + 8

2 x^{4} + 17 x^{2} - 9 = 0

0 = \frac{1}{3} x^{3} - 2 x

What are the solutions to the equation 70x^4-181x^3+116x^2+x=6 ?
The solutions to the equation 70x^4-181x^3+116x^2+x=6 are x=1,x= 3/2 ,x=-1/5 ,x= 2/7
Find the zeros of 70x^4-181x^3+116x^2+x=6
The zeros of 70x^4-181x^3+116x^2+x=6 are x=1,x= 3/2 ,x=-1/5 ,x= 2/7