solve the given equation

Question

Solve the given equation using any of the methods you have learned. Round all answers to two decimal places when necessary. Check your answer(s) graphically or with a table. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.) x2 + 8x = 34

Answer 1

x² + 8x - 34 = 0

 

x = [-8 ± √(8² - 4(1)(-34))]/2

 

   = [-8 ± √200]/2

 

   = [-8 ±10√2]/2

 

   = -4 ± 5√2

Answer 2

x² +8x= 34

x² + 8x - 34= 0

use the quadratic formula. The solution is given by

x = -4 + 5?2, or x= -4-5?2    

          x is equal to -4 plus/minus 5 times the square root (rad) of 2

 

x       y

-12    14

-11     -1
...

 

3        -1

4        14

 

the change of signs in y indicates the graph of the equation has crossed the x- axis. The solution is (-4+5?2, -4-5?2).