Respuesta :
Answer:
x = -(38/3)
Step-by-step explanation:
Well first you have to isolate the square root on the left hand side.
Then eliminate the radical on the left hand side.
Last step
Solve the linear equation :
Rearranged equation
3x + 38 = 0
Subtract 38 from both sides
3x = -38
Divide both sides by 3
A possible solution is :
x = -(38/3)
For this case we must solve the following equation:
[tex]\sqrt {3x + 54} + 6 = 10[/tex]
Subtracting 6 from both sides of the equation:
[tex]\sqrt {3x + 54} = 10-6\\\sqrt {3x + 54} = 4[/tex]
We square both sides of the equation squared:
[tex]3x + 54 = 4 ^ 2\\3x + 54 = 16[/tex]
We subtract 54 from both sides of the equation:
[tex]3x = 16-54[/tex]
Different signs are subtracted and the sign of the major is placed:
[tex]3x = -38[/tex]
We divide between 3 on both sides:
[tex]x = \frac {-38} {3}\\x = - \frac {38} {3}[/tex]
Answer:
[tex]x = - \frac {38} {3}[/tex]