Question

What is the solution to the radical equation 0=√10(x+4)-10 ?

A. 14
B. -6
C. 4000
D. 6

Answer 1

The solution to the radical equation 0 = √10(x+4) - 10 is found by isolating the square root, squaring both sides, and solving for x to find that x = 6, which is option D.

Step-by-step explanation:

To solve the radical equation 0 = √10(x+4) - 10, we first isolate the square root on one side of the equation:

• Add 10 to both sides to get √10(x+4) = 10.
• Square both sides of the equation to get rid of the square root, which gives us 10(x+4) = 100.
• Divide both sides by 10 to simplify, resulting in x+4 = 10.
• Subtract 4 from both sides to solve for x, which gives us x = 6.

Therefore, the solution to the equation is x = 6, which corresponds to option D.