Question

9(x^2+1/x^2)-3(x-1\x)-20=0

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Three solutions were found :

x = 2

x = 1/2 = 0.500

x = 1

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x2" was replaced by "x^2". 1 more similar replacement(s).

Step by step solution :

Step 1 :

1 Simplify — x

Equation at the end of step 1 :

1 1 ((2•((x2)+————))-(9•(x+—)))+14 = 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) ((2•((x2)+————))-(9•——————))+14 = 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 1 1 1.00 2.00

Polynomial Roots Calculator found no rational roots

Equation at the end of step 3 :

1 9•(x2+1) ((2•((x2)+————))-————————)+14 = 0 (x2) x

Step 4 :

1 Simplify —— x2