Solve each equation by completing the square. If necessary, round to the nearest hundredth.
z 2 − 19 z = 66
To solve : the equation by completing the square
The solution of the equation is z=22,−3
Given information :
The equation is
z2−19z=66
Calculation :
The solution of the equation is
z2−19z=66z2−19z+3614=66+3614z2−2⋅z⋅192+(192)2=264+3614(z−192)2=6254(z−192)=±6254z−192=±252z=192±252z=22,−3
Hence, the solution of the equation is z=22,−3 .
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