What are the solutions to the equation 4x^5+5x^4-20x^3-25x^2+16x+20=0 ?

The solutions to the equation 4x^5+5x^4-20x^3-25x^2+16x+20=0 are x=-1,x=1,x=-5/4 ,x=-2,x=2

Find the zeros of 4x^5+5x^4-20x^3-25x^2+16x+20=0

The zeros of 4x^5+5x^4-20x^3-25x^2+16x+20=0 are x=-1,x=1,x=-5/4 ,x=-2,x=2

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4 x^{5} + 5 x^{4} - 20 x^{3} - 25 x^{2} + 16 x + 20 = 0

x = - 1, x = 1, x = - \frac{5}{4}, x = - 2, x = 2

Decimal

x = - 1, x = 1, x = - 1.25, x = - 2, x = 2

Solution steps

4 x^{5} + 5 x^{4} - 20 x^{3} - 25 x^{2} + 16 x + 20 = 0

Factor

4 x^{5} + 5 x^{4} - 20 x^{3} - 25 x^{2} + 16 x + 20 : (x + 1) (x - 1) (4 x + 5) (x + 2) (x - 2)

(x + 1) (x - 1) (4 x + 5) (x + 2) (x - 2) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 1 = 0 or x - 1 = 0 or 4 x + 5 = 0 or x + 2 = 0 or x - 2 = 0

Solve

x + 1 = 0 : x = - 1

Solve

x - 1 = 0 : x = 1

Solve

4 x + 5 = 0 : x = - \frac{5}{4}

Solve

x + 2 = 0 : x = - 2

Solve

x - 2 = 0 : x = 2

The solutions are

x = - 1, x = 1, x = - \frac{5}{4}, x = - 2, x = 2

4.19 x^{3} - 402.12 x + 104 = 0

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

2 x^{3} + 2 = 0

2 x^{3} - 5 x^{2} + 40 x - 100 = 0

x^{4} + x^{3} - 8 x^{2} - 2 x + 12 = 0

What are the solutions to the equation 4x^5+5x^4-20x^3-25x^2+16x+20=0 ?
The solutions to the equation 4x^5+5x^4-20x^3-25x^2+16x+20=0 are x=-1,x=1,x=-5/4 ,x=-2,x=2
Find the zeros of 4x^5+5x^4-20x^3-25x^2+16x+20=0
The zeros of 4x^5+5x^4-20x^3-25x^2+16x+20=0 are x=-1,x=1,x=-5/4 ,x=-2,x=2