AriPotta
  • AriPotta
but i really do need help on this one.
Mathematics
schrodinger
  • schrodinger
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chihiroasleaf
  • chihiroasleaf
have you learned solving quadratic equations?
agent0smith
  • agent0smith
\[x+14=x^2+24x+144 \] subtract x from both sides, then subtract 14 from both sides \[0=x^2+24x+144 - x - 14\]\[0 = x^2+23x+130\] Do you know how to factor equations? Find two numbers that multiply to equal 30 and add to make 23
agent0smith
  • agent0smith
multiply to equal 130, sorry.

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agent0smith
  • agent0smith
10x13 = 130 and 10+13 = 23
agent0smith
  • agent0smith
You can find solutions from here: (x+13)(x+10) = 0 look familiar...?
chihiroasleaf
  • chihiroasleaf
@AriPotta what's the topic you are studying now? exponents? to solve this problem, you should now how to solve quadratic equation..
agent0smith
  • agent0smith
You don't need the quadratic eqn though, you can factor it
agent0smith
  • agent0smith
"should i just substitute each choice into the equation?" you can do this, but if it wasn't a multiple choice question, you obviously wouldn't have that option.
agent0smith
  • agent0smith
If you've done radicals, then it seems like you'd have learned how to factor equations (not using the quadratic formula)
agent0smith
  • agent0smith
Well that's all you need to know to factor something like x^2 + 23x + 130... find two numbers that multiply to make 130 and add to make 23. eg x^2 + 11x + 10 two numbers that multiply to make 10 and add to make 11... 1x10 = 10 and 1+10 = 11. So x^2 + 11x + 10 = (x+10)(x+1)

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