sqrt{3 w+14}=sqrt{7 w-14}

Question

Accepted Answer

Step:1 ：Given the equation (sqrt{3 w+14}=sqrt{7 w-14})Step:2 ：Square both sides of the equation to eliminate the square roots, resulting in (3w + 14 = 7w - 14)Step:3 ：Rearrange the equation to isolate w, resulting in (4w = 28)Step:4 ：Divide both sides by 4 to solve for w, resulting in (w = 7)Step:5 ：Final Answer: (boxed{7})

Answer

Step: 1 ：Given the equation (sqrt{3 w+14}=sqrt{7 w-14})Step: 2 ：Square both sides of the equation to eliminate the square roots, resulting in (3w + 14 = 7w - 14)Step: 3 ：Rearrange the equation to isolate w, resulting in (4w = 28)Step: 4 ：Divide both sides by 4 to solve for w, resulting in (w = 7)Step: 5 ：Final Answer: (boxed{7})

$\sqrt{3 w+14}=\sqrt{7 w-14}$

Answer

Popular Problems