It is proved that no matter what the value of X is, the quadratic trinomial minus 2x-2 is always negative

It is proved that no matter what the value of X is, the quadratic trinomial minus 2x-2 is always negative

-x²-2x-2
=-x²-2x-1-1
=-(x-1)²-1
∵-(x-1)²

The square of x minus 2x minus one equals zero,

In this paper, we use the collocation method to write the function y = 1 / 2 x square minus 2 x minus 1 as y equals a (x minus h) square plus K?

Y = 1 / 2 x 2 x 1
=1 / 2 (X & # 178; - 4x) - 1
=1 / 2 (X & # 178; - 4x + 4-4) - 1
=1 / 2 (X-2) & 178; - 3

Try to compare the size of 2x & # 178; + x-4 and 2x & # 178; + X-1

If you subtract two from one, you will get - 4 + 1 = - 3