1) (x+6)(Y) = x^2-kx-48
2) Y equals to x-8 as (+6) times (-8) equals to -48
3) Substituting Y to x-8,
(x+6)(x-8) = x^2-2x-48
4) Comparing the Right Hand equation from (3) to x^2-kx-48, we know that k=2
Note: be careful not to say that k=(-2) because in the equation itself it's -kx, so (-kx)=(-2x) yields k=2
2) Y equals to x-8 as (+6) times (-8) equals to -48
3) Substituting Y to x-8,
(x+6)(x-8) = x^2-2x-48
4) Comparing the Right Hand equation from (3) to x^2-kx-48, we know that k=2
Note: be careful not to say that k=(-2) because in the equation itself it's -kx, so (-kx)=(-2x) yields k=2
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ok I'm not sure if this is the formal way to think about it but this is how I've always done it:
(x+6)(x+?) = x^2 - kx - 48
ok so the 2 normal numbers 6 & ? have to multiply to be -48.
therefore what is ?
6 * ? = -48
? = -8
so the equation is:
(x+6)(x-8)
now merely expand
x^2 -2x -48
therefore -2x = - kx
divide both sides by -x
2 = k
(x+6)(x+?) = x^2 - kx - 48
ok so the 2 normal numbers 6 & ? have to multiply to be -48.
therefore what is ?
6 * ? = -48
? = -8
so the equation is:
(x+6)(x-8)
now merely expand
x^2 -2x -48
therefore -2x = - kx
divide both sides by -x
2 = k
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It would be k=2.
(x+6)(x-8) when multiplied through is x^2 - 2x - 48.
(x+6)(x-8) when multiplied through is x^2 - 2x - 48.
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K = 2