Question

Solve. (2u-5)(6-u)=0 If there is more than one solution,

Answer 1

To solve the equation (2u-5)(6-u)=0, two solutions are found by setting each factor to zero and solving for u, which gives u = 2.5 and u = 6.

Step-by-step explanation:

To solve the equation (2u-5)(6-u)=0, we need to apply the zero product property which states that if a product of two factors equals zero, then at least one of the factors must be zero.

1. Set each factor equal to zero:
   • 2u - 5 = 0
   • 6 - u = 0
2. Solve each equation for u:
   • 2u = 5, so u = 5/2 or u = 2.5
   • u = 6
3. There are two solutions to the equation: u = 2.5 and u = 6.

The solutions indicate the values of u that satisfy the original equation.