Question

ex 4) Fie expresia E(x): ​

Answer 1

Salut!:)

a) E(x) = ( x + 5 )² + 2( x + 5 )( x - 4 ) + ( x - 4 )² = ( x + 5 + x - 4 )² = ( 2x + 1 )²

b)

$\sqrt{(2x + 1)^{2} } = |2x + 1|$

$= > - 3 \leqslant 2x + 1 \leqslant 3 \: | - 1 \\ - 4 \leqslant 2x \leqslant 2 \: | \div 2 \\ - 2 \leqslant x \leqslant 1$

=> x = [ - 2, 1 ] => A = [ - 2, 1 ]

A n Z = { - 2, - 1, 0, 1 }

- 2 × ( - 1 ) × 0 × 1 = 0