Question

Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared. u2+65u

Answer 1

To complete the square in the expression u^2 + 65u, take half of the coefficient of u, then square it and add it to both sides of the equation. The result is (u + 32.5)^2 = 1056.25.

Step-by-step explanation:

To complete the square in the expression u^2 + 65u, we take half of the coefficient of u, then square it and add it to both sides of the equation. The coefficient of u is 65, so half of it is 32.5. Square 32.5 to get 1056.25. Adding this to both sides of the equation gives us:

u^2 + 65u + 1056.25 = 1056.25

We can write this as a binomial squared by recognizing that the left side is now a perfect square trinomial:

(u + 32.5)^2 = 1056.25

Answer 2

(u +
`(65)/(2)` )²

Step-by-step explanation:

u² + 65u

to complete the square

add ( half the coefficient of the u- term )²

= u² + 2(
`(65)/(2)` )u +
`(4225)/(4)`

= (u +
`(65)/(2)` )²