Math, asked by goutamkumartoi2868, 1 year ago

If alpha and beta are the zeroes of x^2+7x+12,then find the value of 1/alpha + 1/beta - 2alpha×beta

Answers

Answered by BrainlyBlaster
8
Hey Friends!!

Here is your answer↓

Let alpha=@
and beta=ß.

Since,@ and ß are zeros of polynomial.

→x²+7x+12=0

→x²+4x+3x+12=0

→x(x+4)+3(x+4)=0

→ (x+4)(x+3).=0

→x+4=0;x=-4.←@.

→x+3=0;x=-3←ß.

A/Q.
→ 1/@+1/ß-2@×ß.

→ 1/-4+1/-3 -2(-4)×(-3).

→ -7/12 - (-24).

→ -7/12+24.

→ 281/12.

☺☺☺ Hope it is helpful for you ✌✌✌.
Answered by chaitanyakrishn1
3
S  =  -7      p = 12

{( Alpha + beta) / alpha × beta} -2 alpha × beta

-7/12 - 2×12
-7 /12 - 24 = -281/12...ANSWER....

Thank u★★★
#ckc

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