Answer:
The numbers for which the given property hold true are <em>12 </em>and <em>-7</em>
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 <em>12 </em>and <em>-7</em>.