SOLUTION: (2x+3)^1.8=250 help please

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Question 298010: (2x+3)^1.8=250
help please
Found 3 solutions by JBarnum, richwmiller, MathTherapy:
Answer by JBarnum(2146)   (Show Source): You can put this solution on YOUR website!






use quadratic formula
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=312.5 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 7.33883476483184, -10.3388347648318. Here's your graph:

hmmm looking at this after i posted seems to be something wrong i would check with someone else sorry
Answer by richwmiller(17219)   (Show Source): You can put this solution on YOUR website!

Answer by MathTherapy(10555)   (Show Source): You can put this solution on YOUR website!


Raise each side of equation to the th power to get rid of the 1.8 exponent on the left-side. This gives us:

------> , or, ----->

2x = 18.48764863

x = ------>

It CHECKS out but I'll still leave it for you to check. Okay?
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