2x+2−x=2−(x−2)2 The minimum value of 2x+2−x is 2 when x=0 But x=0;2−(x−2)2=−2 The maximum value of 2−(x−2)2 is 2 when x=2 But x=2‌‌2x+2−x=‌
17
4
Hence there is no value of x,2x+2−x=2−(x−2)2 The number of solutions is 0