Question

2x(x+5)+16>x(x+2)
Semnul este mai mare sau egal dar nu pot sa pun

Answer 1

2x(x+5)+16$\geq$x(x+2)
2$x^{2}$+10x+16$\geq$$x^{2}$+2x
$2 x^{2} - x^{2}$+10x-2x$\geq -16$
$x(x+8) \geq -16$
1.x$\geq$-16⇒x∈[-16,+infinit)
2.x+8$\geq -16$
x$\geq -24$
x∈[-24,+infinit)

Answer 2

2x(x+5)+16≥x(x+2)
2x²+10x+16≥x²+2x
2x²+10x-x²-2x≥-16
x²+8x≥-16
x(x+8)≥-16
x+8≥-16x
16x+x≥-8
17x≥-8
x≥-8pe 17