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.
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quadratic equations are of the standard form: ax^2+bx+c
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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
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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=ħ√10
x=2ħ√10
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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=[-50ħsqrt(50^2-4*3*-248)]2*3
x=[-50ħsqrt(2500+2976)]/6
x=(-50ħ√5476)/6
x=(-50ħ74)/6
x=24/6=4
or
x=-124/6=-62/3
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I'm not sure what you meant by the square root property.