Question

Solve for w. -18w^2+5=-43w^2 write your answer in simplified, rationalized form

Answer 1

Start by isolating the variable on one side by adding 43w^2 to both sides.  The equation will read:

25w^2+5=0

*Subtract 5 from both sides*

25w^2=-5

*Divide both sides by 25*

w^2=-1/5

*Take the square root of both sides*

w=√(-1/5)

The square root of -1 is i.  The square root of 5 remains √5

The answer is i/√5.

Hope this helps!!