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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

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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