+0  
 
0
62
4
avatar+216 

Q1)

Q2)

Q3)

Q4)

Johnnyboy  Oct 14, 2018
 #1
avatar+90968 
+2

1.  v^2 -8v  - 59  = -2    add 59 to both sides

 

v^2  - 8v     =  57       take 1/2 of 8  = 4...square it  = 16....add to both sides

 

v^2  - 8x + 16  = 57 + 16     factor the left side, simplify the right

 

(v - 4)^2  =  73      take both roots

 

x - 4 =  sqrt73          x  - 4  =  -sqrt73

 

add 4 to both sides

 

x = 4 + sqr73     or      x =  4 - sqrt73

 

 

cool cool cool

CPhill  Oct 14, 2018
 #2
avatar+90968 
+2

16x^2  + 9y^2

 

[ 4x  + 3iy ]  [ 4x  - 3iy ]

 

 

cool cool cool

CPhill  Oct 14, 2018
 #3
avatar+90968 
+2

x^2  + 4x  + 13    = 0      subtract 13 from both sides

 

x^2  +  4x   =  -13         take 1/2 of 4 = 2...square it =  4  add to both sides

 

x^2  + 4x  +  4 =  -13 + 4        factor the left...simplify the right

 

(x + 2)^2  = -9     take both roots

 

x + 2  = sqrt (-9)      or   x + 2  = -sqrt(-9)

 

x+ 2  = 3i               or     x + 2  = -3i       subtract 2 from both sides

 

x = -2 + 3i   or    x =  -2 - 3i

 

 

 

cool cool cool

CPhill  Oct 14, 2018
 #4
avatar+90968 
+2

x^2 + 27  = 0

 

x^2  = -27       take both roots

 

x =  sqrt (-27)    or  x   =  -sqrt (-27)

 

x =   i *sqrt (27)     or    x  =  -i * sqrt (27)

 

x =  i * sqrt  ( 9 * 3)   or  x   = -i * sqrt (9 * 3)

 

x = 3isqrt(3)   or x = -3isqrt(3)

 

 

cool cool cool

CPhill  Oct 14, 2018

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