Math, asked by LeoBates, 11 months ago

Step by step factorise ax²+(1+a²)x+a

Answers

Answered by Anonymous
6

Answer:-

x =  \dfrac{ - 1}{a}  \:  \:  \:  \: x =  - a

Given:-

a {x}^{2}  + (1 +  {a}^{2} )x + a

To find :-

It's factorization

Solution:-

a {x}^{2}  + (1 +  {a}^{2} )x + a

a {x}^{2}  + x +  {a}^{2} x + a = 0

a {x}^{2}  +  {a}^{2} x + x + a = 0

Taking ax and 1 as common,

We get,

ax(x + a) + 1(x + a) = 0

(ax + 1)(x + a) = 0

(ax + 1) = 0 \:  \:

(x + a) = 0

ax + 1 = 0

x =  \dfrac{ - 1}{a}

or,

x =  - a

hence, the solution is

x =  \dfrac{ - 1}{a}  \:  \:  \:  \: x =  - a

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