Question

x - 7/x2 - 49


Find all numbers for which the rational expression is not defined.

Answer 1

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Answer 2

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Answer 3

hi :)

Answer 4

spamming again

Answer 5

@goformit100 dont worry :) ill help her

Answer 6

:)

Answer 7

ight lets take a look at the question :)

Answer 8

okay

Answer 9

ok so all you want is me to solve the equation?

Answer 10

help me out with each step im not getting it

Answer 11

lol ok no prob to help and explain the steps right?

Answer 12

yes thank you :)

Answer 13

ok :)

Answer 14

Final result :

x3 - 49x2 + 7
—————————————
x2
Step by step solution :

Step 1 :

7
Simplify x + ——
x2
Rewriting the whole as an Equivalent Fraction :

1.1 Adding a fraction to a whole
Rewrite the whole as a fraction using x2 as the denominator :

x x • x2
x = — = ——————
1 x2
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 :

1.2 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 • x2 + 7 x3 + 7
—————————— = ——————
x2 x2
Equation at the end of step 1 :

(x3 + 7)
———————— - 49
x2
Step 2 :

x3+7
Simplify ———— - 49
x2
Rewriting the whole as an Equivalent Fraction :

2.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using x2 as the denominator :

49 49 • x2
49 = —— = ———————
1 x2
Trying to factor as a Sum of Cubes :

2.2 Factoring: x3 + 7

Theory : A sum of two perfect cubes, a3 + b3 can be factored into :
(a+b) • (a2-ab+b2)
Proof : (a+b) • (a2-ab+b2) =
a3-a2b+ab2+ba2-b2a+b3 =
a3+(a2b-ba2)+(ab2-b2a)+b3=
a3+0+0+b3=
a3+b3

Check : 7 is not a cube !!
Ruling : Binomial can not be factored as the difference of two perfect cubes


Polynomial Roots Calculator :

2.3 Find roots (zeroes) of F(x) = x3 + 7
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 7.

The factor(s) are:

of the Leading Coefficient : 1
of the Trailing Constant : 1 ,7

Answer 15

thank u

Answer 16

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Answer 17

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Answer 18

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