Percy solved the equation x2 + 7x + 12 = 12. his work is shown below. is percy correct? explain. 1. (x + 3)(x + 4) = 12 2. x + 3 = 12 or x + 4 = 12 3. x = 9 or x = 8

= > x² + 7x + 12 = 12

= > x² + ( 4 + 3 )x + 12 = 12

= > x² + 4x + 3x + 12 = 12

= > x( x + 4 ) + 3( x + 4 ) = 12

= > ( x + 4 ) ( x + 3 ) = 12

Percy did correct till this step. But by doing like this, Percy can't get the values of the variable x.

Percy should follow the following steps :

= > x² + 7x + 12 = 12

Add -12 on both sides,

= > x² + 7x + 12 - 12 = 12 - 12

= > x² + 7x = 0

= > x( x + 7 ) = 0

= > ( x = 0 ) or ( x + 7 = 0 )

= > ( x = 0 ) or ( x = - 7 )

Hence, required value(s) of x is 0 or -7

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Do you need with the x value for the minimum? its always between the two intercepts for a parabola