Question

10x²+5x=0

25-100x²=0

2x²-14=0

2x²+3x-5=0

3x²+2x-5=0

5x²-8x+3=0

6x-5(2x+8)>14+2x

3(3x-1)>2(5x-7)

2(1-x)>5x-4(2x+1)

2(1-x)>5x-(3x+2)

x²+x-6≤0

x²+4x-5≤0

x²-1≤0

Answer 1

1) 10x²+5x=0

5х(2х + 1) = 0

х = 0 или х = -0,5

2)25-100x²=0

х² = 1/4

х = 1/2 или х = -1/2

3)2x²-14=02(х² - 7) = 0

х² - 7 = 0

х = √7 или х = -√7

 

4)2x²+3x-5=0

D = 9 + 40 = 49

x₁ = -3 +7/4 = 1

x₂ = -3 - 7/4 = -2,5

5)3x²+2x-5=0

D = 4 + 60 = 64

x₁ = -2 + 8/6 = 1

x₂ = -2 - 8/6 = -5/3

6)5x²-8x+3=0

D = 64  - 60 = 4

x₁ = 8 + 2/10 = 1

x₂ = 8 - 2/10 =0,6

7)6x-5(2x+8)>14+2x

6х - 10х - 40 > 14 + 2х

-4х - 2х > 14 + 40

-6х > 54

х >-9

8)3(3x-1)>2(5x-7)

9х - 3 > 10х -14

-х > -11

х > 11

9)2(1-x)>5x-4(2x+1)

2 - 2х > 5х -8х -4

х > -6

10)2(1-x)>5x-(3x+2)

2 -2х > 5х - 3х - 2

-4х > -4

х < 1