सिध़ कीजिए कि xxx+8=(x+2)(xx-2x+4)
Answers
Answer:
thanks jarur dena bro
Step-by-step explanation:
Three solutions were found :
x = 3
x =(4-√-8)/-4=1+i/2√ 2 = -1.0000-0.7071i
x =(4+√-8)/-4=1-i/2√ 2 = -1.0000+0.7071i
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
3*x/x+2-5/x-4-(2*x^2-14*x/x^2-2*x-8)=0
Step by step solution :
Step 1 :
x
Simplify ——
x2
Dividing exponential expressions :
1.1 x1 divided by x2 = x(1 - 2) = x(-1) = 1/x1 = 1/x
Equation at the end of step 1 :
x 5 1
((((3•—)+2)-—)-4)-((((2•(x2))-(14•—))-2x)-8) = 0
x x x
Step 2 :
Equation at the end of step 2 :
x 5 14
((((3•—)+2)-—)-4)-(((2x2-——)-2x)-8) = 0
x x x
Step 3 :
Rewriting the whole as an Equivalent Fraction :
3.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using x as the denominator :
2x2 2x2 • x
2x2 = ——— = ———————
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:
2x2 • x - (14) 2x3 - 14
—————————————— = ————————
x x
Equation at the end of step 3 :
x 5 (2x3-14)
((((3•—)+2)-—)-4)-((————————-2x)-8) = 0
x x x
Step 4 :
Rewriting the whole as an Equivalent Fraction :
4.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using x as the denominator :
2x 2x • x
2x = —— = ——————
1 x
Step 5 :
Pulling out like terms :
5.1 Pull out like factors :
2x3 - 14 = 2 • (x3 - 7)
Trying to factor as a Difference of Cubes:
5.2 Factoring: x3 - 7
Theory : A difference 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 :
5.3 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