Question

Algebra solve each equation (30 points)

Answer 1

They all 3 have no solution!

Answer 2

Look below

Explanation:

`Note: i=√(-1)`

18. Start by factoring out a 5 on the left side:

`5(x^2+25)=0`

Then, divide both sides by 5:

`x^2+25=0`

Subtract 25 from both sides:

`x^2=-25`

Take the square root of both sides:

`x=-√(-25) \ or\ x=-√(25)`

`x=-5i, 5i`

20. Start by adding 16 to both sides:

`-x^2=16`

Divide both sides by -1:

`x^2=-16`

Take the square root of both sides:

`x=-√(16) \ or\ -√(-16)`

`x=-4i, 4i`

22. Start by subtracting 96 from both sides:

`8x^2=-96`

Divide both sides by 8:

`x^2=-12`

Take the square root of both sides:

`x=√(-12)\ or\ -√(-12)`

`x=-2i√(3), 2i√(3)`