An torrent of the like a x ² b x c = 0 , ( a ≠ 0 ) is called a regular polygon equation in the unsettled x .

The equation a x ² b x c = 0 is titled the as a whole (or, standardized fashion)
We can figure out a regular polygon equation by (1) resolution or by (2) applying the guidelines.

The method of discovery the roots of the regular polygon equation is as follows

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x = (- b ± √ (b ² - 4 a c) ) / 2 a

Now we will discourse how to work out applied technical hitches. Due to thick assemblage of practical problems, near is no free finding method that plant in all cases. However the tailing intimation proved kind.

Step: 1 Read the hassle with kid gloves and establish what quantity (s) essential be found.

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Step: 2 distribute a unreliable identify to the mass.

Step: 3 try expressing the complex algebraically, and as fine shaping which expressions are tantamount and construct the obligatory equation (s).

Step: 3 lick the consequent mathematical statement (s)

Now go through a naive reservation based on construction of rectangle equation and solving

Problem: The denominator of a element is one more than twice the numerator. If the sum of the element and its mutual is 58 / 21 . Find the chemical.

Solution:

Let the numerator of the ingredient be x (x be an section of I )
Then its denominator is (2x 1).

So the section is x / (2x 1))

And the interactive would be (2 x 1) / x

According to the problem:

(X / (2 xs 1)) ((2 x 1) / x) = ( 58 / 21 )

(X ² (2 x 1) ²) / (x (2x 1)) = ( 58 / 21)

[L. C. D is = ( x ( 2x 1 ) ]

21 ( x ² 4 x ² 4 x 1 ) = 58 x ( 2x 1 )

105 x² 84 x 21 = 116 x ² 58 x

11 x ² - 26 x - 21 = 0

11 x ² - (33 - 7) x - 21 = 0 [using in-between term factorisation]

11 x ²- 33 x 7 x - 21 = 0

11 x ( x - 3 ) 7 ( x - 3 ) = 0

(x - 3) (11 x 7) = 0

Either ( x - 3 ) = 0 , or ( 11x 7 ) = 0 [ using nought cause theorem ]

x = 3 ,

From, (11x 7) = 0

We get, x = - (7 / 11)

But x is an integer , laxity x = - (7 / 11)

Take x = 3

So the needful fraction, (x / (2x 1)) = (3 / (2 * 3 1))

= (3 / 7)

Now try the following:

The age of a man is two times the right-angled of the age of his son .Eight geezerhood thence the age of the man will be 4 eld much than thrice the age of his son. Find their modern age?
If you cannot figure out this problem, you in all probability entail much dummy run. A suitable online tutor would be agreeable if you approach to maestro this branch of learning in a succinct fundamental measure. Any acceptably well behaved maths instructor should do.

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