Solve each equation by completing the square. If necessary, round to the nearest hundredth.
9 x 2 − 42 x + 49 = 0
To solve : the equation by completing the square
The solution of the equation is x=73
Given information :
The equation is
9x2−42x+49=0
Calculation :
The solution of the equation is
9x2−42x+49=0x2−429x+499=0x2−143x+499=0x2−2⋅x⋅73+(73)2=0(x−73)2=0x−73=0x=73
Hence, the solution of the equation is x=73 .
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