4. a) ¹⁰√4¹⁰=4 - верно
4^10/10=4¹=4
б) ¹⁰√(-5)¹⁰=5 - не верно
(-5)^10/10=(-5)¹=-5
в) ¹⁰√6¹⁰=-6 - не верно
6^10/10=6¹=6
г) ¹⁰√(-7)¹⁰=-7 - верно
(-7)^10/10=(-7)¹=-7
5. 5/∛4=5/4^1/3
∛6/∛6+1=∛6/6^1/3+1
3/(∛49+∛7+1)=3/(49^1/3+7^1/3+1=3/(7^2/3+7^1/3+1)
1) ...=х²+6х+9-(х²+9х)=х²+6х+9-х²-9х=-3х+9
2) ...=4n²+20n+15-20n-25=4n²-10
3) ...=a²+20a+100-a²-80a=100-60a
4) ...=9x²+12x+4+9x²-9x=18x²+3x+4
-1≤sin3x≤1
-4+(-1)≤-4+sin3x≤-4+1
-5≤-4+sin3x≤-3
y∈[-5,-3]
1) -5*x^2-30*x=4*x-12-10
-5*x^2-30*x-4*x+12+10=0
5*x^2+34*x-22=0
2) 3*x^2+9*x-9*x-27=x^2+9*x-8*x-72
3*x^2-x^2-9*x+8*x-27+72=0
2*x^2-x+45=0