Math, asked by mayank174247, 1 year ago

5x²+26x+5=0 by completing square method

Answers

Answered by Saifßàã
12
HLO FRIEND....^_^



5x²+26x+5=0

= 5x^2 + 26x + 5 = 0

= 5x^2 + 25x + x + 5 = 0

= 5x( x + 5 ) +1 ( x + 5 ) = 0

= (x+5) (5x+1) Ans....



Hope its help u my friend^_^....

be brainly..

Answered by payalchatterje
0

Answer:

Values of x is (-5) or ( -  \frac{1}{5} )

Step-by-step explanation:

Given,5 {x}^{2}  + 26x + 5 = 0

By Square method,

5 {x}^{2}  + (25 + 1)x + 5 = 0 \\ 5 {x}^{2}  + 25x + x + 5 = 0 \\5x(x + 5) + (x + 5) = 0 \\ (x + 5)(5x + 1) = 0

We know product of two term is zero then they are separately zero.

x + 5 = 0and 5x + 1 = 0

So,

x + 5 = 0 \\ x =  - 5

and

5x + 1 = 0 \\ 5x =  - 1 \\ x =  -  \frac{1}{5}

Here values of x is ( - 5)or( -  \frac{1}{5} )

This is a problem of Algebra

Some important formulas of Algebra,

(a + b)² = a² + 2ab + b²

(a − b)² = a² − 2ab − b²

(a + b)³ = a³ + 3a²b + 3ab² + b³

(a - b)³ = a³ - 3a²b + 3ab² - b³

a³ + b³ = (a + b)³ − 3ab(a + b)

a³ - b³ = (a -b)³ + 3ab(a - b)

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