Question

Solve for x.
this is for the k12 test.​

Answer 1

option D

Explanation:

`√(10x+50)=x+5\\\\(√(10x+50))^2=(x+5)^2\\\\10x+50=x^2+10x+25\\\\0=x^2+10x-10x+25-50\\\\0=x^2-25\\\\0=(x-5)(x+5)\\\\x=5\\\\x=-5`

now trying for the original equation

`√(10(5)+50)=5+5\\\\√(50+50)=10\\\\√(100)=10\\\\10=10`

and

`√(10(-5)+50)=-5+5\\\\√(-50+50)=0\\\\√(0)=0\\\\0=0`

so it's option D

Answer 2

d

Explanation: