x2+8x+9 = -7
x2+8x+9+7 = 0
x2+8x+16 = 0
(x+4)(x+4) = 0
Therefore: x = -4 and also x = -4 (they both have equal roots)
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(x+ 7)(x + 1) so x = -1 or -7
The roots are: x = 1 and x = 7 So: 7*1 = 7
x=-1
7y+ 8x + 4= 20 + 8x- 8x - 8x7y + 4 = 20- 4 - 47y=16/7 /7y= 2.28the /7 means divide by 7 :)
The possible values for k are -2 and -14 because in order for the line to be tangent to the curve the discriminant must be equal to 0 as follows:- -2x-2 = x2-8x+7 => 6-x2-9 = 0 -14x-2 = x2-8x+7 => -6-x2-9 = 0 Discriminant: 62-4*-1*-9 = 0