(x%2B2-1%2F5)%3D0.jpeg "(x-4/5)(x+2 1/5)=0")
Solving the Equation: (x - 4/5)(x + 2 1/5) = 0
This equation is a quadratic equation in factored form. To solve for x, we can use the Zero Product Property, which states that if the product of two factors is zero, then at least one of the factors must be zero.
1. Identify the factors:
The equation is already factored for us: (x - 4/5) and (x + 2 1/5) are the two factors.
2. Set each factor equal to zero:
- x - 4/5 = 0
- x + 2 1/5 = 0
3. Solve for x in each equation:
- x = 4/5
- x = -2 1/5
Therefore, the solutions to the equation (x - 4/5)(x + 2 1/5) = 0 are x = 4/5 and x = -2 1/5.
Explanation:
This equation represents a parabola intersecting the x-axis at two points. These points correspond to the solutions we found, x = 4/5 and x = -2 1/5. The factored form of the equation highlights the x-intercepts, making it easier to find the solutions.