Question 86121: Solve by completing the square...
1.x^2+4x+3=0
2.x^2=5x+2
3.2x^2-8x-9=0
4.4x^2+2x-3=0
Thanks in advance for all of your help!!! Answer by Earlsdon(6294) (Show Source):
You can put this solution on YOUR website! Solve by completing the square:
1) First, subtract 3 from both sides. Now complete the square in the x-terms by adding the square of half the x-coefficient (that's the 4) to both sides...so you'll be adding to both sides. Simplify. Now factor the left side. Rewrite this as: Now take the square root of both sides. or Finally, subtract 2 from both sides of each equation. or
2) Subtract 5x from both sides. Complete the square in the x-terms by adding the square of half the x-coeffient (that's the -5) to both sides....so you'll be adding to both sides. Simplify. Now factor the left side. Rewrite this as: Now take the square root of both sides. or Add to both sides of each equation. or Simplify. or
3) First, you need to make the coefficient of equal to 1 and you can do this simply by dividing everything by 2. Now you'll proceed as above, add to both sides. Complete the square in the x-terms by adding the square of half the x-coefficient to both sides. Simplify. Now factor the left side. Take the square root of both sides. or Now add 2 to both sides of each equation. or
This should give you a good idea on how to do the remaining problem.
The answers are:
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