1/(1 x 2) + 1/(2 x 3)+1/(3 x 4)++1/(2019 x 2020)= ?

14. x=1, x=−9

x^2 + 8x + 20 = 29

x^2 + 8x + 4^2 = 9 + 4^2

(x + 4)^2 = 25

x + 4 = ± 5

15. x = -1/2, x = -3/2

4x^2+8x+3=0

x = -8 ± √8^2-4x4x3/2x4

x = -8 ± √64-4x4x3/2x4

x = -8 ± √64-16x3/2x4

x = -8 ± √64-48/2x4

x = -8 ± √16/2x4

x = -8 ± √4/2x4

x = -8 ± √4/8

x = -4/8

x = -1/2

x = -12/8

x = -3/2

16. -36

Use the values of  a,  b, and  c  to find the discriminant.

17. x=2, x=−2

3x^2 + 5 = 17

3x^2 + 5 - 17 = 0

3x^2 - 12 = 0  

x^2 - 4 = 0

(x−2)(x+2)=0

x=2  x=−2

18. x=12 , x=−12

x^2 = 144

x^2 - 144 = 0

(x−12)(x+12)=0

x=12,  x=−12

19. x=2√5+3, x=3−2√5  

x−3=2√5

x−3=−2√5

x−3−(−3)=2√ 5−(−3)

x−3−(−3)=−2√5−(−3)

x=2√ 5−(−3)

x=−2√5−(−3)

x=2√5+3

x=3-2√5

20. t = -√24-h/4+1, t = √24-h/4+1, h≤24

Word bank:

A) zeroes

B) axis of symmetry

C) y-value of the vertex

Step-by-step explanation:

I hope this helps!