Question

Ten times the square of a non-zero number is equal to sixty times the number.

what is the number ?

Answer 1

The number is 6

Explanation:

This is a word problem and we must tackle it as such

Let's begin by translating it into mathematical expressions then solve the problem

Firstly

1.Let say the number is x

2.The square of the number is x²

3.Now 10 times the number is 10x²

4. 60 times the number is 60x

Now equating item 3 and 4 as stated by the problem is a gateway to our solution

Therefore

10x²=60x

Dividing both sides by x

We have

10x²/x=60x/x

10x=60

Dividing both sides by 10 we have

x=60/10

x=6

Answer 2

Let x be the nonzero number.

`10 x^(2) =60x \\ (1)/(10x)(10 x^(2) =60x) \\ x=6`