If 8 < x < 9, and x^2 = (10 – y)(10 + y), which of the following is a possible value for y? Choose the correct choice from the following options:
A) –7  B) –6  C) 3  D) 4  E) 5
Given : 8&lt;x&lt;9=&gt; 64&lt;x^2&lt;81   Given X^2 = 100-y^2   Therefore 64&lt;100-y^2&lt;81   -36&lt;-y^2&lt;-19 = 19&lt;y^2&lt;36   Only (5) y=5 =&gt; Y^2 = 25 satisfies the above equation.
<result>E</result>
If 8 < x < 9, and x^2 = (10 – y)(10 + y), which of the following is a possible value for y?