# Algebra 2

Solve by completing the square.
1.x^2+x+c=0

2. x^2+bx+c=0

1. 👍 0
2. 👎 0
3. 👁 66
1. x^2 + x = -c
x^2 + x + 1/4 = 1/4-c
(x+1/2)^2 = (1-4c)/4
x+1/2 = ± √(1-4c)/2
x = -1/2 ± √(1-4c)
= (-1 ± √(1-4c) )/2

-keep only the x^2 and x terms on the left
- take half of the coefficient of the x term, then square it
- add that result to both sides.
You will have a perfect square on the left side

1. 👍 0
2. 👎 0
posted by Reiny

## Similar Questions

3. Solve for x in 8x^2 + 2x - 4 = 0 I have tried factoring, taking out a GCF then factoring, completing the square, and got a bunch of wrong answers. I thought we were supposed to complete the square, so maybe I'm just doing that

asked by Ariana on October 8, 2015
2. ### Algebra 2

Completing the square method allows you to solve any quadratic equation. For each of the following determine what number completes the square. I cannot find my notes on completing the square, can someone please help with these two

asked by Christian on May 21, 2007
3. ### Algebra

Which of the following statements is true? A. Any quadratic equation can be solved by completing the square. B. Completing the square always gives two distinct solutions. C. You can’t complete the square if there is no constant

asked by Emma on July 21, 2014
4. ### Algebra 2

Solve by completing the square. a² - 2√(3a) + 2 = 0 Solve for x. I don't know if you can use completing the square for this problem. ax^n + b = 0

asked by Solve by completing the square on December 7, 2011
5. ### maths

Consider the equation x(square) + 4px + 2q = 0 where p and q are real constants. a) by completing square, show that (x+2p)square =4P(SQUARE)-2q b) Hence show that x= -2p +/- square root(4 p(square) -2p ) c) Use the above results

6. ### Math

Hi everyone. Would someone be able to help me with this problems? I know it's a lot, if you only want to help with one or two, that is fine!! 9. Could you show how to use factoring and the zero-proudct property to find the zeros

asked by Eliza on November 19, 2008
7. ### math,correction

Is this correct now. Problem #1 solve by completing the square. 2x^2+8x+3=0 My answer: x=-2 +/- sqrt (5)/(2) Problem #2 solve by using the quadratic formula 5x^2+3x+1=0 My answer: No solution are defined. You are not completing

asked by jasmine20 on April 22, 2007
8. ### math

1. solve by using the quadratic formula. 5x^2+x=3 2. solve by completing the square. x^2=5x+2 3.solve by using the square roots method. 5(x-2)^2=3

asked by mary on March 30, 2008
9. ### Algebra

I was given this answers to a problems I solved but I do not understand what she means hope you can help. Before attempting to solve this quadratic equation, determine how many solutions there will be for this quadratic equation.

asked by Charly on June 2, 2011
10. ### Algebra

I was given this answers to a problems I solved but I do not understand what she means hope you can help. Before attempting to solve this quadratic equation, determine how many solutions there will be for this quadratic equation.

asked by Charly on June 2, 2011
11. ### Algebra

Completing the square method allows you to solve any quadratic equation. For each of the following determine what number completes the square. I cannot find my notes on completing the square, can someone please help with these two

asked by Christian on May 21, 2007

More Similar Questions