SOLUTION: Solve the equation. 8x2 + 22x - 6 = 0 x = _____ (smaller value) x = _____ (larger value) I can't solve this, someone help.

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Question 319174: Solve the equation.
8x2 + 22x - 6 = 0
x = _____ (smaller value)
x = _____ (larger value)
I can't solve this, someone help.

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!

Start with the given equation.


Notice that the quadratic is in the form of where , , and


Let's use the quadratic formula to solve for "x":


Start with the quadratic formula


Plug in , , and


Square to get .


Multiply to get


Rewrite as


Add to to get


Multiply and to get .


Take the square root of to get .


or Break up the expression.


or Combine like terms.


or Simplify.


So the solutions are or


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