anonymous
  • anonymous
Solve this please! Will medal for giving an answer!!! 0=-2x^2+11x+40
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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ganeshie8
  • ganeshie8
Hint : (16)(-5) = -80 16 + -5 = 11
ganeshie8
  • ganeshie8
As a start, split the middle term as `16x - 5x`
ganeshie8
  • ganeshie8
0 = -2x^2 + `11x` + 40 = -2x^2 + `16x-5x` + 40

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anonymous
  • anonymous
wow i would have never thought of that!
ganeshie8
  • ganeshie8
knw how to finish it off ?
anonymous
  • anonymous
how did you figure that out?
anonymous
  • anonymous
yeah i can finish it off but i'm intrigued on how you found those numbers
ganeshie8
  • ganeshie8
basically we need to find two integers such that they multiply to `(40)*(-2)` and add up to the coefficient of middle term `11`
ganeshie8
  • ganeshie8
so you look at the factors of 40*2 : 40*2 = 10*4*2 = 5*2^4 = 5*16 and you see that 16 and -5 are the magic numbers
anonymous
  • anonymous
Wow thanks so much!
ganeshie8
  • ganeshie8
quadratic formula is always there if you don't like to do all that
ganeshie8
  • ganeshie8
|dw:1440046082224:dw|
anonymous
  • anonymous
yeah of course I know that, haha
anonymous
  • anonymous
but It seemed like there was a shorter way so I asked
anonymous
  • anonymous
But really appreciate your work.
ganeshie8
  • ganeshie8
im not sure if we can say that factor by grouping is any shorter than using the quadratic formula directly... factor by grouping doesn't work always, it works only when the roots are rational
ganeshie8
  • ganeshie8
usually i try factor by grouping first, if it doesn't work then i use quadratic formula..

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