Solve: x2 + 2x + 1 = 16.
We can factor the left-hand side of this equation to see that:
(x + 1)2 = 16
Then snag the square root of both sides:
x + 1 = ±4
Solve the two equations:
x + 1 = 4 and x + 1 = -4
And our solutions are x = 3 and x = -5. Phew. It's nice to have some closure on that.
Solve: x2 = 5.
The answers are , and there's no prettier way to write them. We could inscribe them inside a drawing of a floral wreath, but that's about it.
Solve (x – 6)2 = 15.
We take the square root to find:
So we need to solve these two equations:
The solutions are, respectively:
That's as nice as they get. Getting uglier. Must...look...away...
Solve -2x2 = 16.
We divide both sides by -2 to find x2 = -8.
Now we're stuck, without any butter or Vaseline handy. There is no real number whose square is -8. This equation has no real number solutions. Unreal.
Make it rain.
The who, what, where, when, and why of all your favorite quotes.
Go behind the scenes on all your favorite films.
danielnieh 6 minutes ago
Hello daniel. i am daniel. i would like to eat some cake because I'm hungry.
This is another message I am typing.
Me just now
this is my message bubble. i like to ride motorcycles because i eat chocolate.