SOLUTION: Complete the square. 1. x2 + 60x + 2. x2 – 7x + Solve each equation by completing the square. 3. x2 – 6x – 16 = 4. x2 – 14x + 74 = 0 5.

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Question 171525:
Complete the square.
1. x2 + 60x +
2. x2 – 7x +

Solve each equation by completing the square.
3. x2 – 6x – 16 =

4. x2 – 14x + 74 = 0

5. 3x2 + 5x – 28 = 0

6. 4x2 – 6x + 3 = 0


Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!
Solve by completing the square

Step 1: Add the additive inverse of the constant term to both sides, leaving the constant term on the right.





Step 2: If the coefficient on the term is other than 1, divide all terms by this coefficient.



Step 3: Divide the coefficient on the term by 2 and square the result.





Step 4: Add the result of Step 3 to both sides of your equation.



Step 5: You now have a perfect square polynomial on the left, so factor it.



Step 6: Simplify the right side as much as possible, then take the square root of both sides of the equation, remembering to include both the positive and negative root.

or

Step 7: Simplify and solve for



For your first two problems, just do steps 3 and 4. For the rest, follow the entire process. Hope that helps.
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