Question

Zad1 Rozwiąż
a.3x+x+(7+4x)=3(x-1)

b.x- (3x+1÷4)=⅓

c.x-((2x+1)÷3)=½

zad 2

zapisz w prostszej postaci
a.2√3+11-7√3=
b.√900÷∛27+√121=
c.2√45+3√20-√80=
d.3√5+6-8√5)=
e.√144+√400:∛64=
f.√90+2√40-√250=

zad 3
oblicz

a. -6,4+3,6:(-5)=
b.( 7,6+2,1×(⁷₈)⁻¹)÷((1,5)²-2⁻²×(-9)⁰=
c.-7,2+2,8:(-5)=
d.(9,6+1,8×(¾)⁻¹)÷(2,5²-2⁻²×(-6)⁰)

Prosze o obliczenia

Answer 1

Zad1 Rozwiąż
a.3x+x+(7+4x)=3(x-1)
4x+7+4x=3x-3
8x-3x=-3-7
5x=-10
x=-10:5
x=-2

b.x- (3x+1÷4)=⅓
x-3x+1/4=1/3
-2x=1/3-1/4
-2x=4/12-3/12
-2x=1/12
x=1/12: (-2)
x=1/12*(-1/2)
x=-1/24

c.x-((2x+1)÷3)=½
x-(2/3x+1/3)=1/2
x-2/3x-1/3=1/2
1/3x=1/2+1/3
1/3x=3/6+2/6
1/3x=5/6
x=5/6:1/3
x=5/6*3
x=5/2
x=2 1/2

zad 2

zapisz w prostszej postaci
a.2√3+11-7√3=11-5√3

b.√900÷∛27+√121=30:3+11=10+11=21

c.2√45+3√20-√80=2√9*5 + 3√4*5 - √16*5 = 2*3√5 + 3*2√5 - 4√5 = 6√5+6√5-4√5=8√5

d.3√5+6-8√5= 6-5√5

e.√144+√400:∛64=12+20:4=12+5=17

f.√90+2√40-√250=√9*10 + 2√4*10 - √25*10 = 3√10+2*2√10-5√10=3√10+4√10-5√10=2√10

zad 3
oblicz

a. -6,4+3,6:(-5)=-6,4-0,72=7,12

b.( 7,6+2,1×(⁷₈)⁻¹)÷((1,5)²-2⁻²×(-9)⁰=(7,8+2,1*8/7):[(2,25-(1/2)²*1]=(7 4/5 + 2 1/10 * 8/7) : (2 1/4 - 1/4*1) = (7 8/10+21/10*8/7) : ( 2 1/4 - 1/4) = (7 4/5+12/5) : 2 = (7 4/5+2 2/5):2=9 6/5 : 2 = 51/5 * 1/2 = 51/10 = 5 1/10

c.-7,2+2,8:(-5)= -7,2 - 0,56 = -7,76

d.(9,6+1,8×(¾)⁻¹)÷(2,5²-2⁻²×(-6)⁰) = (9 3/5 + 1 4/5 * 4/3) : [(6 1/4-(1/2)² * 1] = (9 3/5 + 9/5*4/3):(6 1/4 - 1/4*1) = (9 3/5 + 12/5) :(6 1/4 - 1/4) = 9 15/5 : 6 = 60/5 * 1/6 = 10/5 = 2