Answer:
1/10
Step-by-step explanation:
1/2= 50%
1/5= 20%
1/7= 15%
1/10= 10%
Answer:
x=-6 is an extraneous solution
Step-by-step explanation:
we have
![\sqrt{-3x-2} =x+2](https://tex.z-dn.net/?f=%5Csqrt%7B-3x-2%7D%20%3Dx%2B2)
squared both sides
![-3x-2=(x+2)^2](https://tex.z-dn.net/?f=-3x-2%3D%28x%2B2%29%5E2)
![-3x-2=x^2+4x+4](https://tex.z-dn.net/?f=-3x-2%3Dx%5E2%2B4x%2B4)
![x^2+7x+6=0](https://tex.z-dn.net/?f=x%5E2%2B7x%2B6%3D0)
solve the quadratic equation by graphing
The solution is x=-6 and x=-1
see the attached figure
<u><em>Verify each solution</em></u>
substitute the value of x in the original expression
For x=-6
![\sqrt{-3(-6)-2} =-6+2](https://tex.z-dn.net/?f=%5Csqrt%7B-3%28-6%29-2%7D%20%3D-6%2B2)
![\sqrt{16} =-4](https://tex.z-dn.net/?f=%5Csqrt%7B16%7D%20%3D-4)
----> is not true
so
Is an extraneous solution
For x=-1
![\sqrt{-3(-1)-2} =-1+2](https://tex.z-dn.net/?f=%5Csqrt%7B-3%28-1%29-2%7D%20%3D-1%2B2)
![\sqrt{1} =1](https://tex.z-dn.net/?f=%5Csqrt%7B1%7D%20%3D1)
----> is true
so
Is the solution