sajnik的部落格

An manifestation of the like a x ² b x c = 0 , ( a ≠ 0 ) is titled a regular polygon equation in the unreliable x .

The equation a x ² b x c = 0 is named the in general (or, standard type)
We can figure out a regular polygon mathematical statement by (1) factorization or by (2) applying the guidelines.

The guidelines of determination the roots of the regular polygon mathematical statement is as follows

x = (- b ± √ (b ² - 4 a c) ) / 2 a

Now we will discuss how to lick applied snags. Due to wide-screen mixture of applied problems, near is no distinct finding technique that industrial plant in all cases. However the shadowing request proved conscientious.

Step: 1 Read the job conscientiously and find what total (s) must be found.

Step: 2 organize a unreliable term to the quantity.

Step: 3 try expressing the question algebraically, and as cured decisive which expressions are alike and jot the necessary mathematical statement (s).

Step: 3 solve the consequent equation (s)

Now go through a pure snag supported on foundation of rectangle mathematical statement and solving

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

Solution:

Let the numerator of the piece be x (x be an constituent of I )
Then its divisor is (2x 1).

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

And the reciprocal 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 interior term resolution]

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 [ exploitation zero factor proposition ]

x = 3 ,

From, (11x 7) = 0

We get, x = - (7 / 11)

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

Take x = 3

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

= (3 / 7)

Now try the following:

The age of a man is doubly the gathering place of the age of his son .Eight geezerhood hence the age of the man will be 4 geezerhood more than thrice the age of his son. Find their bequest age?
If you cannot lick this problem, you in all likelihood involve much tradition. A redeeming online private instructor would be ministrant if you scheme to maestro this subject in a concise term. Any probably moral science private instructor should do.