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ACT Aspire Math: Finding a Quadratic Formula from Its Solution 4 Views
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Description:
Eonho applied the quadratic formula to a quadratic equation and obtained the solution
.
Which of the following could be the quadratic equation that he solved?
Transcript
- 00:03
Match members Here we go Yon ho applied the quadratic
- 00:07
formula to a quadratic equation and obtained the solution X
- 00:11
equals negative Two plus minus ie temps grow two fifty
- 00:14
six all over ten Which of the following could be
- 00:16
the quadratic equation that he solved We're not totally sure
Full Transcript
- 00:24
why yang ho won't simply tell us what the quadratic
- 00:27
equation he was working with woz But you know you
- 00:30
wonder why does he always have to make things difficult
- 00:33
Whatever We don't need your help The quadratic formula is
- 00:36
x equals negative b plus or minus squared b squared
- 00:39
minus four a c over to a remember that thing
- 00:41
Well since yon ho used the quadratic formula we can
- 00:44
deduce that negative b equals negative too So b equals
- 00:49
two And looking at the denominator of yon house equation
- 00:52
what we can see that two way is ten So
- 00:54
is five Look at us where math detectives while the
- 00:57
quadratic formula is applied to equations of the form a
- 01:01
x squared plus b x plus c is zero So
- 01:03
at this point we know that yang ho could have
- 01:05
started with the equation Five x squared plus two x
- 01:08
plus c is zero where c is still unknown Well
- 01:12
we could just find sea by setting negative fifty six
- 01:14
equal to b squared minus four a C which is
- 01:17
same as two squared minus four times Five si but
- 01:22
well there's really no need because only one answer Choice
- 01:24
has the desired values for a and b it's right
- 01:27
there It's answer choice be so that's it Take that 00:01:30.083 --> [endTime] young ho
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