What are the solutions to the equation 2x^4-3x^3+x-10=0 ?

The solutions to the equation 2x^4-3x^3+x-10=0 are x=2,x\approx-1.26738…

Find the zeros of 2x^4-3x^3+x-10=0

The zeros of 2x^4-3x^3+x-10=0 are x=2,x\approx-1.26738…

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2 x^{4} - 3 x^{3} + x - 10 = 0

x = 2, x \approx - 1.26738 \dots

Solution steps

2 x^{4} - 3 x^{3} + x - 10 = 0

Factor

2 x^{4} - 3 x^{3} + x - 10 : (x - 2) (2 x^{3} + x^{2} + 2 x + 5)

(x - 2) (2 x^{3} + x^{2} + 2 x + 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

x - 2 = 0 : x = 2

Solve

2 x^{3} + x^{2} + 2 x + 5 = 0 : x \approx - 1.26738 \dots

The solutions are

x = 2, x \approx - 1.26738 \dots

6 x^{2} - 4 x^{3} = 0

z^{3} = (- 1 + 3 i)

x^{3} + 6 x^{2} - x - 30 = 0

q^{3} - q^{2} - 30 q = 0

y, x y = x y

What are the solutions to the equation 2x^4-3x^3+x-10=0 ?
The solutions to the equation 2x^4-3x^3+x-10=0 are x=2,x\approx-1.26738…
Find the zeros of 2x^4-3x^3+x-10=0
The zeros of 2x^4-3x^3+x-10=0 are x=2,x\approx-1.26738…