Solve each equation by completing the square. If necessary, round to the nearest hundredth.
a 2 − 2 a = 15
To solve : the equation by completing the square
The solution of the equation is a=5,−3
Given information :
The equation is
a2−2a=15
Calculation :
The solution of the equation is
a2−2a=15a2−2a+1=15+1a2−2⋅a⋅1+(1)2=16(a−1)2=16(a−1)=±16a−1=±4a=1±4a=5,−3
Hence, the solution of the equation is a=5,−3 .
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