3x^2 = -9x?

2008-06-20 6:49 pm
Solve the equation below. Show your work and explain your steps.
Use ^ to indicate a power and "sqrt" to indicate a radical.

回答 (14)

2008-06-20 6:52 pm
✔ 最佳答案
3x² = -9x
3x² + 9x = 0

Factor out a 3x:

3x(x + 3) = 0

3x = 0 and x + 3 = 0
x = 0 and x = -3

Answer is :

x = -3, 0
2008-06-20 7:16 pm
3x^2 + 9x = 0
3x(x + 3) = 0
x(x+3) = 0
x =0 or x = -3
2008-06-20 7:04 pm
3x^2 = -9x
3x² + 9x = 0
3x(x + 3) = 0
x= 0 or -3 or 3i^2;
where 'i' is an imaginary quantity and i^2 is -1.
參考: 16 yrs of exp...
2008-06-20 7:00 pm
Clearly, if x = 0, we have a solution.

If x is not zero, we can divide both sides by x to get

3x = -9

Divide both sides by 3

3x/3 = x = -9/3 = -3

Two solutions

x = 0 and x = -3
參考: Longtime college math teacher
2008-06-20 6:56 pm
3x^2 = -9x
3x^2 + 9x = 0
3x(x + 3) = 0
(x + 3) = 0
x = -3 OR x = 0
2008-06-20 6:54 pm
This is a quadratic: ax^2 + bx + c

where c = 0

3x^2 + 9x = 0

3x(x + 3) = 0

So, x = 0, x = -3
2008-06-20 6:53 pm
3x^2 = -9x
3x^2 + 9x = 0
3x(x + 3) = 0

3x = 0
x = 0/3
x = 0

x + 3 = 0
x = -3

∴ x = 0 , -3
2008-06-20 6:53 pm
3x^2 = -9x

3x^2 + 9x = 0 (add 9x to both sides)

3x(x + 3) = 0 (extract 3x as a common factor)

3x = 0 or x+3 = 0

x=0 or x=-3
2008-06-20 6:52 pm
3x² = -9x

Bring over the -9x to the left:

3x² + 9x = 0

Factor out a 3x:

3x(x + 3) = 0

Now from this you have that x = 0 or x = -3.

Hope this helps!
2008-06-20 6:53 pm
Hi,

3x^2 = -9x
3x² = -9x
3x² + 9x = 0
3x(x + 3) = 0
3x = 0
x = 3 <== ANSWER

x + 3 = 0
x = -3 <==ANSWER

I hope that helps!! :-)


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