SOLUTION: Can you please show me how to work this quadratic equation by completing the square
x^2 + 4x - 12 = 0
Algebra.Com
Question 169987: Can you please show me how to work this quadratic equation by completing the square
x^2 + 4x - 12 = 0
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the left side of the equation.
Take half of the coefficient to get . In other words, .
Now square to get . In other words,
Now add and subtract . Make sure to place this after the "x" term. Notice how . So the expression is not changed.
Group the first three terms.
Factor to get .
Combine like terms.
So after completing the square, transforms to . So .
So is equivalent to .
----------------------------------------------------
Start with the given equation.
Add to both sides.
Combine like terms.
Take the square root of both sides.
or Break up the "plus/minus" to form two equations.
or Take the square root of to get .
or Subtract from both sides.
or Combine like terms.
--------------------------------------
Answer:
So the solutions are or .
RELATED QUESTIONS
Can you please help show me how to solve this quadratic equation by completing the... (answered by stanbon)
Can you please show me how to work this quadratic equation by completing the square... (answered by jim_thompson5910)
Can you please help show me how to solve this quadratic equation by completing the square
(answered by jim_thompson5910)
Can you please help show me how to solve this quadratic equation by completing the... (answered by stanbon)
Please show me how to work out this quadratic equation by completing the square
m^2 =... (answered by jim_thompson5910)
How to slove this Quadratic equation by completing the square:... (answered by rapaljer)
Can you please help show me how to solve this quadratic equation by completing the... (answered by jojo14344)
Solve the quadratic equation by completing the square:
x^2 - 6x - 3 = 0
Can someone (answered by Nate)
Solve 4x^2-20x-3=0 by completing the square.
Please show me your work so that I can... (answered by Alan3354)