Question

x =√(24 − 5x)

Answer 1

This one should also give you 2 answers, I don't know what to tell you.

Answer 2

Ugh, that's what I thought. Maybe as a decimal it'll work.

Answer 3

x = sqrt(24 - 5x)


x^2 = 24 - 5x


x^2 + 5x - 24 = 0


Now use the quadratic formula to solve


x = (-b+-sqrt(b^2-4ac))/(2a)


x = (-(5)+-sqrt((5)^2-4(1)(-24)))/(2(1))


x = (-5+-sqrt(25-(-96)))/(2)


x = (-5+-sqrt(121))/2


x = (-5+sqrt(121))/2 or x = (-5-sqrt(121))/2


x = (-5+11)/2 or x = (-5-11)/2


x = 6/2 or x = -16/2


x = 3 or x = -8


So the possible solutions are x = 3 or x = -8


However, x = -8 is a extraneous solution because the range of the square root function is always nonnegative.


So the only solution is x = 3

Answer 4

Okay awesome, I'm starting to understand these things. Thanks a bunch.

Answer 5

After you perform the operations under the sq root, 24 -5(-8), the answer is still real. -8 is also a solution.

Answer 6

Well the answer was 3 regardless. Not sure why anymore though.

Answer 7

No -8 is not a solution, plug it back into the original equation and you'll see that


x = sqrt(24 - 5x)


-8 = sqrt(24 - 5(-8))


-8 = sqrt(24 + 40)


-8 = sqrt(64)


-8 = 8


which is false


So again, x = -8 is NOT a solution

Answer 8

oops my mistake.