From the given statement we obtained a non-zero number is 9.
The given statement is ten times the square of a non-zero number is equal to ninety times the number.
We need to find what is the number.
A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax²+bx+c=0, where a and b are the coefficients, x is the variable, and c is the constant term. The first condition for an equation to be a quadratic equation is the coefficient of x² is a non-zero term(a ≠ 0).
Let the non-zero number be x.
Now, the square of a non-zero number is x².
Ten times the square of a non-zero number=10x²
Ninety times the number=90x
So, ten times the square of a non-zero number is equal to ninety times the number=10x²=90x
⇒x=9
Therefore, a non-zero number is 9.
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