The square of a number equals nine times

Kricelle ann Vallejo

Kricelle ann Vallejo

Answered question

2022-08-25

The square of a number equals nine times that number find the number

Answer & Explanation

RizerMix

RizerMix

Expert2023-05-28Added 656 answers

Let's denote the number as x. The square of x is x2, and nine times x is 9x. The equation can be written as:
x2=9x.
To find the value of x that satisfies this equation, we can rearrange it and solve for x.
Subtracting 9x from both sides, we have:
x29x=0.
Factoring out an x from the left side, we get:
x(x9)=0.
According to the Zero Product Property, this equation will hold true if either x=0 or x9=0.
For x=0, the equation is satisfied. However, for x9=0, we find that x=9.
Therefore, the two solutions to the equation are x=0 and x=9.

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