What are the solutions to the equation 4x-7x^5+16x^2=0 ?

The solutions to the equation 4x-7x^5+16x^2=0 are x=0,x\approx-0.24833…,x\approx 1.39183…

Find the zeros of 4x-7x^5+16x^2=0

The zeros of 4x-7x^5+16x^2=0 are x=0,x\approx-0.24833…,x\approx 1.39183…

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4 x - 7 x^{5} + 16 x^{2} = 0

x = 0, x \approx - 0.24833 \dots, x \approx 1.39183 \dots

Solution steps

4 x - 7 x^{5} + 16 x^{2} = 0

Factor

4 x - 7 x^{5} + 16 x^{2} : - x (7 x^{4} - 16 x - 4)

- x (7 x^{4} - 16 x - 4) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 7 x^{4} - 16 x - 4 = 0

Solve

7 x^{4} - 16 x - 4 = 0 : x \approx - 0.24833 \dots, x \approx 1.39183 \dots

The solutions are

x = 0, x \approx - 0.24833 \dots, x \approx 1.39183 \dots

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

y, 8 y - 8 x^{3} = 0

x^{3} - 6 x^{2} + 9 x - 8 = 0

2 = (3 - x) x^{2}

4 x^{5} - 5 x^{4} + 5 x^{3} + 11 x^{2} - 24 x + 12 = 0

What are the solutions to the equation 4x-7x^5+16x^2=0 ?
The solutions to the equation 4x-7x^5+16x^2=0 are x=0,x\approx-0.24833…,x\approx 1.39183…
Find the zeros of 4x-7x^5+16x^2=0
The zeros of 4x-7x^5+16x^2=0 are x=0,x\approx-0.24833…,x\approx 1.39183…