anonymous
  • anonymous
I need help solving Quadratic Equations. Or at least someone to talk me through one so I can do the rest.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
\[x^2 + 5x - 84\]
uri
  • uri
Quadratic formula:|dw:1378152820900:dw| a:1 b:5 c:-84 Plug in the values and solve. :)
Psymon
  • Psymon
Not needed for this one, uri D: You can factor it cleanly. When the coefficient of the x^2 term is only a 1, you need to find two factors of the constant (number) that add up to the coefficient of the x term. So for your problem, it would be two factors of 84 that add up to 5. Once you find those two factors, your answers are like this: (x+ factor one)(x + factor two)

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uri
  • uri
But he says he has to do it using Quadratic formula..no? @Kyle15
Psymon
  • Psymon
Just says quadratic equations.
anonymous
  • anonymous
No, he said he needs to solve quadratic equations.
anonymous
  • anonymous
My paper says Solve and find the Exact answer of these quadratic equations.
anonymous
  • anonymous
@Psymon 's way is easier tho :)
uri
  • uri
I find Quadratic more easier but alrighttt, :)
Psymon
  • Psymon
Right. So for this problem, all we need to do is find two factors of negative 84 that add up to positive 5. So do you think you can find two numbers that multiply to make -84 but also add to make positive 5?
Psymon
  • Psymon
And you can do this problem in 2 seconds without quadratic formula, just depends on how fast you are at seeing the factors xD
anonymous
  • anonymous
I cannot find the multiples that will add up to 5 that also multiply to get -84....
Psymon
  • Psymon
Alrighty, lets see if we can help ya out.
anonymous
  • anonymous
Am I just not seeing it? Lol. I must be having a complete brain fart.
Psymon
  • Psymon
|dw:1378153134952:dw| Yoiu can break down your number like this and try to eventually find the 2 numbers. I found 12 and 7.
Psymon
  • Psymon
Sorry, meant to type 12 and 7 in the pic xD
anonymous
  • anonymous
Ohh! Gotcha! Thanks!xD
Psymon
  • Psymon
But once you find 12 and 7, you need to choose one of the numbers to be negative and one of them to be positive. Because in the end, these numbers must make NEGATIVE 84. At the same time, these two numbers must add up to a positive 5. That being said, if you want the addition of the two numbers to stay positive, you must choose the larger number of the two to remain positive. This means your two numbers are 12 and -7. Now as mentioned above, now we can just plug these in: (x+12)(x-7) These would be your factors. Now if you had to actually explicitly solve for x, you would set every factor you have equal to 0 liek so: x + 12 = 0 x - 7 = 0 SOlving for x gives us -12 and 7 as our values of x.
anonymous
  • anonymous
Yeah, I was just lost on remembering the process lol. Thanks!
Psymon
  • Psymon
Yeah, np :3

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