62.5k views
0 votes
How to solve 13. i)

How to solve 13. i)-example-1
User Bunbun
by
9.2k points

1 Answer

0 votes

Answer:

see below

Explanation:

2x^2 +2x > -4

Add 4 to each side

2x^2 +2x+4 > -4+4

2x^2 +2x+4 > 0

Factor

2(x^2 +x+2) >0

Divide by 2

2/2(x^2 +x+2) >0/2

(x^2 +x+2) >0

Complete the square

Take the x coefficient divide by 2 and square it

(1/2) then square it = 1/4

(x^2 + x +1/4) +7/4 >0

(x+1/2)^2 +7/4 >0

Subtract 7/4 from each side

(x+1/2)^2 +7/4 -7/4>0-7/4

(x+1/2)^2 >-7/4

This is always true since a quantity squared is greater than a negative quantity

x can be any number

User Ibid
by
8.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories