Solve quadratic equation by completing the square. Express your answer as exact roots ?
1 Answer
Mar 12, 2018
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)+1−1+13)=0
⇒3(x+1)2+3(−1+13)=0
⇒3(x+1)2−2=0
⇒(x+1)2=23
take the square root of both sides
⇒x+1=±√23←note plus or minus
⇒x=−1±√63←rationalise denominator