SOLUTION: Can somebody please help me? 2. What three techniques can be used to solve a quadratic equation? Demonstrate these techniques on the equation "12x2 - 10x - 42 = 0".

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Question 154171This question is from textbook elementary and intermediate algebra concepts and applications
: Can somebody please help me?
2. What three techniques can be used to solve a quadratic equation? Demonstrate these techniques on the equation "12x2 - 10x - 42 = 0".
This question is from textbook elementary and intermediate algebra concepts and applications

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
You can solve by 1) factoring, 2) quadratic formula, and 3) completing the square. I'll do the second technique to get you started




Start with the given equation.


Notice we have a quadratic equation in the form of where , , and


Let's use the quadratic formula to solve for x


Start with the quadratic formula


Plug in , , and


Negate to get .


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 answers are or


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