Question

Which of the following is a radical equation?

a) x + √5 = 12
b) x² = 16
c) 3 + x√7 = 13
d) 7√(2x + 4) = 16

Answer 1

d) 7√(2x + 4) = 16. The radical equation in the given options is d) 7√(2x + 4) = 16. To solve this equation, we need to isolate the square root term by dividing both sides of the equation by 7 and then square both sides to eliminate the square root.

Step-by-step explanation:

The radical equation in the given options is d) 7√(2x + 4) = 16.

To solve this equation, we need to isolate the square root term by dividing both sides of the equation by 7: √(2x + 4) = 16/7.

Next, we can square both sides of the equation to eliminate the square root: 2x + 4 = (16/7)^2.

Finally, we can solve for x by subtracting 4 from both sides and dividing by 2: x = ((16/7)^2 - 4)/2.