Given the equation −4square root of x minus 3 = 12, solve for x and identify if it is an extraneous solution.

a.) x = 0, solution is not extraneous
b.) x = 0, solution is extraneous
c.) x = 12, solution is not extraneous
d.) x = 12, solution is extraneous

D.) x = 12, solution is extraneous

Step-by-step explanation:

We are given a equation

⇒    

 on squaring both sides, we get

           x-3=9

    ⇒  x=12

     Putting x=12 in original equation gives

⇒            -4×3=12

which is not true

Hence, correct option is:

D.) x = 12solution is extraneous

3

step-by-step explanation:

because where the point where the 2 lines intersect is (3,-1) the x value is 3

step-by-step explanation:

the ratio of red paint to blue paint is always 9/7. that means that, whatever x's value, (4x+12)/(4x-4) has that same ratio. so, set up an equation and cross-multiply to solve for x:

9/7 = (4x+12)/(4x-4)

9(4x-4) = 7(4x+12)

36x - 36 = 28x + 84

8x - 36 = 84

8x = 120

x = 15