A number has the property that its square is equal to 84 more than five times the number. Enter all numbers that have this property.

The numbers for which the given property hold true are 12 and -7

Step-by-step explanation:

Let the number be .

As per the given statement:

Square of the number () is 84 more than five times of the number ().

Writing in the equation form:

To find:

All the numbers for which above equation holds true.

Solution:

Let us solve the above equation by rearranging the terms and then let us find the roots of the equation.

It is a quadratic equation(i.e. maximum power of is 2) so it will have 2 solutions  i.e. 2 values of for which the above equation will hold true.

Let us factorize the equation.

So, the numbers for which the given property hold true are 12 and -7.

europa2433

europa2433

step-by-step explanation: