Question

1. Calculati inecuatiile :
a)(x-1) la patrat + (x+2) la patrat -2x (x-7)+9≤0
b)-4x-2(x-5)≤0
c) √2 (x-3) +3 (√2-1)≥0
d) 7x-3(x-2)+2(x-1)≥0

Answer 1

a)  (x^2-1*2*x+1^2)+(x^2+2*2*x+2^2)-2x*x-2x*7)+9≤0
(x^2-2x+2)+(x^2+4x+4)-2x^2-14x+9≤0
x^2-2x+2+x^2+4x+4-2x^2-14x+9≤0
8x-14x+9≤0
-6x≤-9
x≥9/6
b)-4x-2x+10≤0
-6x+10≤0
-6x≤-10
x≥10/6
c) √2x-3√2+3√2-3≥0
√2x-3≥0
√2x≥3
x≥3/√2(amplificam cu √2)
x≥3√2/2
d)7x-3x+6+2x-2≥0
6x+3≥0
6x≥-3
x≥-3/6
Sper ca am facut corect