What are the solutions to the equation -15z+41z^2-14z^3=0 ?

The solutions to the equation -15z+41z^2-14z^3=0 are z=0,z= 3/7 ,z= 5/2

Find the zeros of -15z+41z^2-14z^3=0

The zeros of -15z+41z^2-14z^3=0 are z=0,z= 3/7 ,z= 5/2

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- 15 z + 41 z^{2} - 14 z^{3} = 0

z = 0, z = \frac{3}{7}, z = \frac{5}{2}

Decimal Notation

z = 0, z = 0.42857 \dots, z = 2.5

Solution steps

- 15 z + 41 z^{2} - 14 z^{3} = 0

Factor

- 15 z + 41 z^{2} - 14 z^{3} : - z (7 z - 3) (2 z - 5)

- z (7 z - 3) (2 z - 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

z = 0 or 7 z - 3 = 0 or 2 z - 5 = 0

Solve

7 z - 3 = 0 : z = \frac{3}{7}

Solve

2 z - 5 = 0 : z = \frac{5}{2}

The solutions are

z = 0, z = \frac{3}{7}, z = \frac{5}{2}

\frac{4}{5} = 2500 r^{5}

x^{3} - 3 x^{2} - 18 x + 40 = 0

3 b^{3} + 9 = 39

(1 + x)^{4} = 16

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

What are the solutions to the equation -15z+41z^2-14z^3=0 ?
The solutions to the equation -15z+41z^2-14z^3=0 are z=0,z= 3/7 ,z= 5/2
Find the zeros of -15z+41z^2-14z^3=0
The zeros of -15z+41z^2-14z^3=0 are z=0,z= 3/7 ,z= 5/2