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Find the solution of 3 times the square root of the quantity of x plus 6 equals negative 12, and determine if it is an extraneous solution.

Respuesta :

You get an answer of x=10 from solving the equation, which is extraneous so there is no solution. see work attached
Ver imagen djp5262
3 sqrt(x + 6)  = -12
xqrt(x + 6) = -4

x + 6 = 16
x = 10

Substituting  for x in the original equation:-

3 sqrt(10+6) =  3*sqrt16 =  3 * -4 = -12

not extraneous

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