What are the solutions to the equation 100x^3-45x^2-58x+24=0 ?

The solutions to the equation 100x^3-45x^2-58x+24=0 are x=-3/4 ,x= 2/5 ,x= 4/5

Find the zeros of 100x^3-45x^2-58x+24=0

The zeros of 100x^3-45x^2-58x+24=0 are x=-3/4 ,x= 2/5 ,x= 4/5

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100 x^{3} - 45 x^{2} - 58 x + 24 = 0

x = - \frac{3}{4}, x = \frac{2}{5}, x = \frac{4}{5}

Decimal Notation

x = - 0.75, x = 0.4, x = 0.8

Solution steps

100 x^{3} - 45 x^{2} - 58 x + 24 = 0

Factor

100 x^{3} - 45 x^{2} - 58 x + 24 : (4 x + 3) (5 x - 2) (5 x - 4)

(4 x + 3) (5 x - 2) (5 x - 4) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

4 x + 3 = 0 or 5 x - 2 = 0 or 5 x - 4 = 0

Solve

4 x + 3 = 0 : x = - \frac{3}{4}

Solve

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

Solve

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

The solutions are

x = - \frac{3}{4}, x = \frac{2}{5}, x = \frac{4}{5}

9 z^{3} + 13 z - 2022 = 0

x^{2} (x - 3) = 12 - 4 x

x^{6} + x^{4} - 2 x^{3} - 2 x + 1 = 0

- λ^{3} - λ^{2} + 8 λ + 12 = 0

6 x^{4} + 8 x^{2} = 26 x^{3}

What are the solutions to the equation 100x^3-45x^2-58x+24=0 ?
The solutions to the equation 100x^3-45x^2-58x+24=0 are x=-3/4 ,x= 2/5 ,x= 4/5
Find the zeros of 100x^3-45x^2-58x+24=0
The zeros of 100x^3-45x^2-58x+24=0 are x=-3/4 ,x= 2/5 ,x= 4/5