Using a graph utility to approximate the solutions of

Question

x^3+3x^2=5x to two decimal places...

Answer 1

The Equation is x³ + 3x² = 5x.

x³ + 3x²  - 5x = 0.

x(x² + 3x - 5) = 0

Then x = 0 and x² + 3x - 5 = 0.

Now we find the roots of the quadratic Equation x² + 3x - 5 = 0.

To find the roots of the Equation, we use the formula

where a = 1, b = 3 and c = -5 then

Therefore roots of the Quadratic Equation are -4.19and 1.19

Roots of the Equation are 0, -4.19and 1.19.

Graph

Graph is drawn showing the roots of the Equation x³ + 3x² = 5x.

Therefore the roots of the Equation is x³ + 3x² = 5x is 0, -4.19and 1.19.