Question

if x be a postive real number such that X^2+1/X^2=50/7 THEN EVALUATE X+1/X

Answer 1

Step by step solution :

Step 1 :

50

Simplify ——

7

Equation at the end of step 1 :

1 50

(x + —) - —— = 0

x 7

Step 2 :

1

Simplify —

x

Equation at the end of step 2 :

1 50

(x + —) - —— = 0

x 7

Step 3 :

Rewriting the whole as an Equivalent Fraction :

3.1 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 :

3.2 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 3 :

(x2 + 1) 50

———————— - —— = 0

x 7

Step 4 :

Polynomial Roots Calculator :

4.1 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

Calculating the Least Common Multiple :

4.2 Find the Least Common Multiple

The left denominator is : x

The right denominator is : 7

Answer 2

refer to the attachment

hope it helpzzz

plzz mark it as brainliest