Solve by completing the square. x2+6x−6=0

For this case we must solve the following equation by completing squares:

We add 6 to both sides of the equation:

We divide the middle term by 2, and square it:

And we add it to both sides of the equation:

We rewrite the left part of the equation:

We apply root to both sides:

We have two solutions:

Step-by-step explanation:

We have the following equation

To use the method of completing squares you must take the coefficient of x and divide it by 2 and square the result.

Now add 9 on both sides of equality

Factor the term in parentheses

Add 6 on both sides of the equation

Take square root on both sides of the equation

Subtract 3 from both sides of the equation.

30 miles

step-by-step explanation:

we know that 60 seconds equals 1 minute and 60 minutes 1 hour

44 ft       60 sec     60 min     158400   ft

  *   *   =

1 sec       1 min       1 hour         hour

we know that there are 5280 ft per mile

158400   ft       1 mile         30 miles

  *   =

1   hour               5280 ft     1 hour

so in 1 hour   it can travel 30 miles

hello from mrbilldoesmath!

answer:   x (x+6)^2, choice b

discussion:

factor x out of the equation:

x^3 + 12x^2 + 36x = x (x^2 + 12x + 36).

note that 6+6 = 12 and 6*6 = 36 so the above factors into:

x (x+6)^2

which is choice b

you,

mrb