Solve the equations and inequalities a) \(\displaystyle-{x}^{{2}}+{2}{x}{>}{1}\) b)

Zoie Phillips

Zoie Phillips

Answered question

2022-03-22

Solve the equations and inequalities
a) x2+2x>1
b) |13x|=5
c) |4x3|2

Answer & Explanation

Drahthaare89c

Drahthaare89c

Beginner2022-03-23Added 19 answers

(a) x2+2x>1
Rewtite in standart form
x2+2x1>0
(x1)2>0
Multiply both sides by -1
((x1)2)(1)<0(1)
(x1)2<0
If n is even, un0u
No solution for xR
(b) |13x|=5
Apply absolute rule
13x=5 or 13x=5
3x=51 or 3x=51
x=2 or x=43
(c) |4x3|2
Apply Absolute rule
24x32
4x32 and 4x32
x14 and x54

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