What are the solutions to the equation 2a^3-21a^2-14a+33=0 ?

The solutions to the equation 2a^3-21a^2-14a+33=0 are a=1,a=-3/2 ,a=11

Find the zeros of 2a^3-21a^2-14a+33=0

The zeros of 2a^3-21a^2-14a+33=0 are a=1,a=-3/2 ,a=11

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2 a^{3} - 21 a^{2} - 14 a + 33 = 0

a = 1, a = - \frac{3}{2}, a = 11

Decimal Notation

a = 1, a = - 1.5, a = 11

Solution steps

2 a^{3} - 21 a^{2} - 14 a + 33 = 0

Factor

2 a^{3} - 21 a^{2} - 14 a + 33 : (a - 1) (2 a + 3) (a - 11)

(a - 1) (2 a + 3) (a - 11) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

a - 1 = 0 or 2 a + 3 = 0 or a - 11 = 0

Solve

a - 1 = 0 : a = 1

Solve

2 a + 3 = 0 : a = - \frac{3}{2}

Solve

a - 11 = 0 : a = 11

The solutions are

a = 1, a = - \frac{3}{2}, a = 11

y, x^{2} (x^{2} + y^{2}) = y^{2}

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

u^{3} - 13.2 = - 11.8

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

8 x^{3} - 46 x^{2} + 31 x - 5 = 0

What are the solutions to the equation 2a^3-21a^2-14a+33=0 ?
The solutions to the equation 2a^3-21a^2-14a+33=0 are a=1,a=-3/2 ,a=11
Find the zeros of 2a^3-21a^2-14a+33=0
The zeros of 2a^3-21a^2-14a+33=0 are a=1,a=-3/2 ,a=11