Question

Algebra solve each equation (30 points)

Answer 1

They all 3 have no solution!

Answer 2

Answer:

Look below

Step-by-step explanation:

$Note: i=\sqrt{-1}$

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:

$x=-\sqrt{-25} \ or\ x=-\sqrt{25}$

$x=-5i, 5i$

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:

$x=-\sqrt{16} \ or\ -\sqrt{-16}$

$x=-4i, 4i$

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:

$x=\sqrt{-12}\ or\ -\sqrt{-12}$

$x=-2i\sqrt{3}, 2i\sqrt{3}$