Solve quadratic equation by completing the square. Express your answer as exact roots ?

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1 Answer
Mar 12, 2018

x=1±63

Explanation:

to complete the square

the coefficient of the x2 term must be 1

3(x2+2x+13)=0

add/subtract (12coefficient of the x-term)2 to
x2+2x

3(x2+2(1x)+11+13)=0

3(x+1)2+3(1+13)=0

3(x+1)22=0

(x+1)2=23

take the square root of both sides

x+1=±23note plus or minus

x=1±63rationalise denominator