Find the solution of 3 times the square root of the quantity of x plus 5 equals negative 9, and determine if it is an extraneous solution

x = 4,  it is an extraneous solution.

Step-by-step explanation:

Translating the given statement, we get the following equation:

Dividing both sides by 3, we get:

Now we will take square on both sides of the equation to get rid of the square root to get:

So we are left with:

Therefore, the solution is 4.

Also, it is an extraneous solution because the equality is not met by substituting x = 4 in the original equation:

step-by-step explanation:

∆abc has the points a(1, 7), b(-2, 2), and c(4, 2) as its vertices. formed with the point d(1, 2) as its third vertex, then ∆abd is triangle.

-362

step-by-step explanation:

(12)(4)+2(12)-34(12)+2(12)-3

  \/         \/         \/         \/

  48 +   24 -   408 + 24 - 3

      \   /               \   /

          72     -     432 - 3 = -363