What are the solutions to the equation roots 5x^3-7x^2-45x+63 ?

The solutions to the equation roots 5x^3-7x^2-45x+63 are x= 7/5 ,x=-3,x=3

Find the zeros of roots 5x^3-7x^2-45x+63

The zeros of roots 5x^3-7x^2-45x+63 are x= 7/5 ,x=-3,x=3

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roots

5 x^{3} - 7 x^{2} - 45 x + 63

x = \frac{7}{5}, x = - 3, x = 3

Solution steps

5 x^{3} - 7 x^{2} - 45 x + 63

The roots are the intercepts with the x-axis

(y = 0)

5 x^{3} - 7 x^{2} - 45 x + 63 = 0

Factor

5 x^{3} - 7 x^{2} - 45 x + 63 : (5 x - 7) (x + 3) (x - 3)

(5 x - 7) (x + 3) (x - 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

5 x - 7 = 0 or x + 3 = 0 or x - 3 = 0

Solve

5 x - 7 = 0 : x = \frac{7}{5}

Solve

x + 3 = 0 : x = - 3

Solve

x - 3 = 0 : x = 3

The solutions are

x = \frac{7}{5}, x = - 3, x = 3

x^{3} - 4 x - 5 = 0

4 x^{3} + 108 = 0

9 x^{3} - 13 x - 6 = 0

x^{4} + 24 x^{2} - 25 = 0

0 = x (x + 9) (x - 15)

What are the solutions to the equation roots 5x^3-7x^2-45x+63 ?
The solutions to the equation roots 5x^3-7x^2-45x+63 are x= 7/5 ,x=-3,x=3
Find the zeros of roots 5x^3-7x^2-45x+63
The zeros of roots 5x^3-7x^2-45x+63 are x= 7/5 ,x=-3,x=3