Math, asked by prasenjitbiswas1976, 7 months ago

If x²+5x+6= (x+a) (x+a), then find the value of a+b.


Answers

Answered by krishnapalsingh2573
0

Answer:

x²+5x+6

x²+3x+2x+6

x(x+3)+2(x+3)

(x+3)(x+2)

comparing with (x+a)(x+b) we get

a=3 and b=2

Answered by itzshivam15
1

Answer:

Okay, as you can see it's 2 degree polynomial and the highest power of x is 2. Thus, there are 2 values of x for which we'll get to satisfy the given equation.

Now,

x^2–5x+6=0 is comparable with ax^2+bx+c=0, where a=1 ,b =-5 and c=6 .

In this case, you'll have to split b in such a way that the factors of the product a and c, i.e. (ac) will correspond to b and further factorise them. You can add the factors or even substract them to get b.

A.T.Q.

x^2–5x+6=0

We have ac=6. Thus, we'll have to split 6 in such a way that we will get 5.

Webcan do it in 2 ways,(6–1) and (3+2).

So,

x^2-(6–1)x+6=0

=> x^2–6x+x+6=0

=> x(x-6)+1(x+6)=0

But, as we can see, we cannot proceed further.

So let's try the other option we have

x^2–5x+6=0

=>x^2-(3+2)x+6=0

=>x^2–3x-2x+6=0

=>x(x-3)-2(x-3)=0

=>(x-3)(x-2)=0

This means that either of them will be zero, so again we have two possibilities, where

Either,

x-3=0

=>x=3

Or,

x-2=0

=>x=2.

Thus, the possible values of x are 2 and 3.

Step-by-step explanation:

hope it helps you

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