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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>.
The prime factor of the 576 is and the prime factor of the 64 is
. And the expression
is equal to 3.
Simplification is to make something easier to do or understand and to make something less complicated.
Given
The expression is
The prime factor of the 576 will be
The prime factor of the 64 will be
Then the expression will be
More about the simplification link is given below.