asked in Mathematics+IQ challenge by (5 points) 3

If x2 = 3x

Then what is x?

replied by LEGEND (7,411 points) 4 14 37

To solve your equation it would be like this:

  1. Move all terms to the left side and set equal to zero.
  2. Now set each of your factors equal to zero.l
Your answer will be:

x = 0,3

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2 Answers

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answered by ELITE (4,011 points) 4 6 18

X²=3x

Therefore,

X²-3x=0

By moving all factors to the left.

Now for each factor being equal to zero.
 
1. X²=0

Square becomes square root when crossing the equality sign to make X the subject of formula.

X=√0

X=0


2. -3x=0

X=3

By making X the subject of formula. 

When the negative sign crosses the equality sign, it becomes positive. 

So x=0,3

This reminds me so much about solving problems back in secondary school. I didn't like solving problems at all. I was just an average student when it came to that. I never enjoyed it and I only read to pass. I wouldn't even practice them until it was time for examination. 
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answered by ELITE (3,008 points) 5 20 39

What you are asking are the "roots" of the equation x2 = 3x. Remember that the equation that will allow us to get the root/s is the quadratic equation given by ax2 + bx + c = 0.

In this case, you need to rewrite the equation from x2 = 3x by moving all terms to the left. This will then give you the form x2 -3x = 0, which will allow us to identify a, b and c of the quadratic equation.

a = 1
b = -3
c = 0

We now substitute this to the quadratic formula: 

x= [−b±√b2−4ac]/2a

Substituting the values will give you this:

x= [−(-3)±√(-3)2−4(1)(0)]/2(1)

x= [3±√9]/2

x= [3±3]/2

First root:

x= [3+3]/2 = 6/2 = 3

Second root:

x= [3-3]/2 = 0

Hence, the values of x or the roots of the equation are 3 and 0.

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