math

I am getting a diff ans from key, but both mine and the key satisfies it but they did it in a more of a “legit method”?
So pls lmk what ans u get

iTeachChem Helper•9/7/24, 2:47 PM

@Apu

iTeachChem Helper•9/7/24, 2:47 PM

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SirLancelotDuLac•9/7/24, 2:52 PM

Now let the other roots be $\alpha,\beta,\gamma$, so you have $\alpha+\beta+\gamma=-4$ and 2 other equations. So the values of alpha, beta and gamma can be found. Now the values of q and r can also be found.
2.Long divide by $x^{2}-4x+2$. Quotient would be cubic so you would have to do 4 steps, so it may be longer and calculation errors may occur.

TeXit•9/7/24, 2:52 PM

SirLancelotDuLac

SSirLancelotDuLac 1. Now let the other roots be $\alpha,\beta,\gamma$, so you have $\alpha+\beta+\...

SirLancelotDuLac•9/7/24, 2:52 PM

is using theory of roots and 2, is just something I thought.

SSirLancelotDuLac 1. is using theory of roots and 2, is just something I thought.

stormycloudOP•9/7/24, 2:54 PM

What i did was, I took 2 and substituted it, and got an eqn and then I substituted q and r values till it satisfied, is this correct? Prob not bc the ans is 48 and I got 6

stormycloudOP•9/7/24, 2:55 PM

I can send there solution if u want and I’ll try ur method in a bit and see where it goes

Sstormycloud What i did was, I took 2 and substituted it, and got an eqn and then I substitut...

SirLancelotDuLac•9/7/24, 2:55 PM

Substituted q and r as in how will it be divided by (x-2)^2?

SSirLancelotDuLac Substituted q and r as in how will it be divided by (x-2)^2?

stormycloudOP•9/7/24, 2:56 PM

Like the eqn divides with x-2 whole 2, one of the values of x can be 2 such that the eqn equals to zero, so I substituted 2 and equated it to zero and got a eqn with only q and r , after that I put random values for q and r

stormycloudOP•9/7/24, 2:56 PM

Would this be correct?

Sstormycloud Like the eqn divides with x-2 whole 2, one of the values of x can be 2 such that...

SirLancelotDuLac•9/7/24, 2:57 PM

But there would be infinite such values of q and r?

SSirLancelotDuLac But there would be infinite such values of q and r?

SirLancelotDuLac•9/7/24, 2:57 PM

Like it's a linear equation in 2 variables. All other values may not satisfy given conditions.

Sstormycloud What i did was, I took 2 and substituted it, and got an eqn and then I substitut...

serenity. 力•9/7/24, 2:57 PM

it is not given that they are integers or smthing

SSirLancelotDuLac But there would be infinite such values of q and r?

stormycloudOP•9/7/24, 2:57 PM

Mhm yah

how do I rule them out?

serenity. 力•9/7/24, 2:57 PM

so substituting won't work

Sserenity. 力 it is not given that they are integers or smthing

stormycloudOP•9/7/24, 2:58 PM

They r integers acc to what they got in the ans as well, but yah that too

Sstormycloud Mhm yah😭 how do I rule them out?

SirLancelotDuLac•9/7/24, 2:58 PM

The above theory of equations one is a good solution imo.

SSirLancelotDuLac The above theory of equations one is a good solution imo.

stormycloudOP•9/7/24, 2:58 PM

Alrighty will try it out, tysm

SSirLancelotDuLac The above theory of equations one is a good solution imo.

stormycloudOP•9/7/24, 3:05 PM

I got it another method, I wrote it as the product of x-2 whole square and a cubic polynomial and equated the power4,3,2 x to zero and got values, thankyou so much again :]

Sstormycloud I got it another method, I wrote it as the product of x-2 whole square and a cub...

SirLancelotDuLac•9/7/24, 3:06 PM

Good.

SSirLancelotDuLac Good.

stormycloudOP•9/7/24, 3:06 PM

And also could u explain ur first method on how u got alpha beta gamma is -4, sorry we didn’t do theory of eqn yet

Sstormycloud And also could u explain ur first method on how u got alpha beta gamma is -4, so...

SirLancelotDuLac•9/7/24, 3:07 PM

Oh sorry. Its basically the sum of roots of equations = -b/a and so on.

SSirLancelotDuLac Oh sorry. Its basically the sum of roots of equations = -b/a and so on.

stormycloudOP•9/7/24, 3:07 PM

But that is a fifth power eqn right?