Question

solve for 9x^2+36=0

Answer 1

First divide by 9 both side

Answer 2

Simplifying
9x2 + 36 = 0

Reorder the terms:
36 + 9x2 = 0

Solving
36 + 9x2 = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-36' to each side of the equation.
36 + -36 + 9x2 = 0 + -36

Combine like terms: 36 + -36 = 0
0 + 9x2 = 0 + -36
9x2 = 0 + -36

Combine like terms: 0 + -36 = -36
9x2 = -36

Divide each side by '9'.
x2 = -4

Simplifying
x2 = -4

Reorder the terms:
4 + x2 = -4 + 4

Combine like terms: -4 + 4 = 0
4 + x2 = 0

Answer 3

why was this necessary?
Reorder the terms:
36 + 9x2 = 0

Answer 4

Note: 36+9x^2=0 has the form \[a^2+b^2=0, so.that.a^2=-b^2\]

Answer 5

... which means that any solutions are imaginary.

Answer 6

Also note that 36+9x^2 = 0 can be reduced by dividing all terms by 9. Try it.

Answer 7

\[9x ^{2}+36=0\]
I think this much simplier..
Solving for X:
1) Transpose
\[9x ^{2}=-36\]
2) x should have no coefficient (divide each side by the coefficient)
\[9x^{2}/9 = -36/9\]
\[x ^{2}=-4\]
3) Square root both sides (so that x would only be left)
\[\sqrt{x^{2}}=\sqrt{-4}\]
\[x=\sqrt{-4}\] ; there is no square for any negative number but you can write it as
\[x=2i\]

Answer 8

i mean there is no square root for any negative number..