The first three steps of completing the square to solve the quadratic equation x2 +4x-6=0

Mathematics

1 answer:

hodyreva [135]3 years ago

8 0

Answer:

Step-by-step explanation:

1. Move the 6 to the other side: x^2 +4x =6

2. Square half the coefficient of the x term: (4/2)^2 = 4

3. Add this 4, and then subtract this 4, from x^2 + 4x:

x^2 +4x + 4 - 4 =6

4. Rewrite this perfect square as the square of a binomial:

(x + 2)^2 - 4 = 6

5. Add 4 to both sides: (x + 2)^2 = 10

6. Find the sqrt of both sides: x + 2 = √

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Which equation can be used to solve for the rate, r, for Sam to change all the light bulbs in the office building by himself?

Bad White [126]

Answer:

$\frac{3}{r}+\frac{3}{8}=1$

Step-by-step explanation:

Given question is incomplete; here is the complete question.

Working together, Sam and Charlie can change all light bulbs in the office building in 3 hours. It would have taken Charlie 8 hours to do the job alone. Which equation can be be used to solve for the rate 'r', for Sam to change all the light bulbs in the office building by himself.

Let Sam can change the bulbs in the office alone in 'r' hours

Per hour work done by Sam alone = $\frac{1}{r}$