SOLUTION: Four different methods of solving a quadratic equation have been discussed in this course: factoring,the square root property,completing the square,and the quadratic formula.Explai

Question 477314: Four different methods of solving a quadratic equation have been discussed in this course: factoring,the square root property,completing the square,and the quadratic formula.Explain under what circumstances each methods would be preferred over any of the other methods. Give an example for each circumstances.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Four different methods of solving a quadratic equation have been discussed in this course: factoring,the square root property,completing the square,and the quadratic formula.Explain under what circumstances each methods would be preferred over any of the other methods. Give an example for each circumstances.
**
quadratic equations are of the standard form: ax^2+bx+c
..
Factoring should be the choice if equation appears to be factorable:
ex: x^2-x+6=0
(x+2)(x-3)=0
x=-2 or x=3
..
Completing the square would be my next choice especially if the coefficient of x^2, a=1, and b & c are small single digits integers:
ex:x^2-4x-6=0
(x^2-4x+4)-6-4=0
(x-2)^2-10=0
(x-2)^2=10
x-2=�√10
x=2�√10
..
If a, b & c are very large or very small like fractions or decimals use the quadratic formula.
ex: 3x^2+50x-248=0
a=3, b=50, c=-248
x=[-50�sqrt(50^2-4*3*-248)]2*3
x=[-50�sqrt(2500+2976)]/6
x=(-50�√5476)/6
x=(-50�74)/6
x=24/6=4
or
x=-124/6=-62/3
..
I'm not sure what you meant by the square root property.
RELATED QUESTIONS
There are Four different methods of solving a quadratic equation; factoring, the square... (answered by richard1234)

9) Solve the equation by the method of factoring. Use the factoring technique... (answered by solve_for_x)

10) Solve the equation by the method of factoring. Use the factoring technique... (answered by solve_for_x)

Solve the equation by the method of factoring. Use the factoring technique discussed in... (answered by MathLover1,ikleyn,MathTherapy)

What is the solution for this? Please use the 4 methods in quadratic equation to see the (answered by josgarithmetic,richwmiller)

What is the solution for this? Please use the 4 methods in quadratic equation to see the (answered by rothauserc)

The perimeter of a rectangular garden is 60 m and its area is 225 m^. Find the length of... (answered by stanbon,mananth,MathTherapy)

What are the different methods of solving quadratic equations? What method do you prefer, (answered by TimothyLamb,richwmiller)

quadratic equations have methods of solving help me to solve by completing the square (answered by bella18)