2×2^x+2^x+1/2×2^x=14
7/2×2^x=14
2^x=14×2/7
2^x=4
x=2
1)3xˇ2+x3=xˇ2(3+x)
16xˇ2-4=4(4xˇ2-1)=4.(2x+1)(2x-1)
2x+6+xˇ2+3x=2(x+3)+x(x+3)=(x+3)(2+x)
2)2xˇ2+3x=0, x(2x+3)=0, x1=0,x2=-3/2
3)5abˇ2/abc=5b/c
4)(a+b)ˇ2-2ab+aˇ2-bˇ2=aˇ2+2ab+bˇ2-2ab+aˇ2-b2=2aˇ2=2.a.a=a.2a
5)xˇ3+2xˇ2-4x-8=0
xˇ2(x+2)-4(x+2)=0
(x+2)(xˇ2-4)=0
(x+2)(x+2)(x-2)=0
x1=-2,x2=-2,x3=2
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6√(16/9) - 4 = 6*(4/3)-4=8-4 =4
√(7,2*20)=√144=12
√(216/6) = √36 = 6
√((5²)²-3²) = 5²*3=75
4√(4*5) - √(25*5) = 4*2√5 - 5√5 = 3√5
3*√6*√3 +√(4*3)*√3 = 9√2 + 6
(5-√2)²= 25-10√2+4 = 29-10√2
√(144*3) = √432
-9√2 = -√162
√(x-3)² = x-3, при x=2,6 2,6-3 = -0.4
(√6*√6 - √6)/(√3*√6 -√3) = (√6(√6-1))/(√3(√6-1)) = √6/√3 = √(6/3) = √2
((4-√x)*(4+√x))/(4+√x) = 4-√x
(4(2√3-1)-4(2√3+1))/(12+1) = (8√3-4-8√3-4)/13 = -8/13