1)15-x≥0 U 3-x≥0⇒x≤15 U x≤3⇒x∈(-≈;3]
15-x+2√(15-x)(3-x)+3-x=36
2√(15-x)(3-x)=18+2x
√(15-x)(3-x)=9+x
(15-x)(3-x)=(9+x)²
45-15x-3x+x²-81-18x-x²=0
-36x-36=0
x=-1
2)x+8≥0 U x+2≥0⇒x≥-8 U x≥-2⇒x∈[2;≈)
x+8>x²+4x+4
x²+3x-4<0<br>x1+x2=-3 U x1*x2=-4⇒x1=-4 U x2=1
+ - +
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-4 1
x∈(-4;1)