Question

9(×x^{2} +1/×x^{2} )_9(×+1/×)-52=0.

Please solve it fastly.....

Answer 1

Step by step solution :

Step  1  :

1 Simplify — x

Equation at the end of step  1 :

1 1 ((9•((x2)+————))-(9•(x+—)))-52 = 0 (x2) x

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Adding a fraction to a whole 

Rewrite the whole as a fraction using x  as the denominator :

x x • x x = — = ————— 1 x

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole 

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

 2.2       Adding up the two equivalent fractions 
Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x • x + 1 x2 + 1 ————————— = —————— x x

Equation at the end of step  2 :

1 (x2+1) ((9•((x2)+————))-(9•——————))-52 = 0 (x2) x

Step  3  :

Polynomial Roots Calculator :

 3.1    Find roots (zeroes) of :       F(x) = x2+1
Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  1  and the Trailing Constant is  1. 

 The factor(s) are: 

of the Leading Coefficient :  1
 of the Trailing Constant :  1 

 Let us test ....

  P  Q  P/Q  F(P/Q)   Divisor     -1     1      -1.00      2.00