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Thank you We sneak in and here's your smoke to

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your brought to you by the golden rule which is

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basically don't ever try to take a leper con school

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Really not worth getting away from my goal All right

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one of the routes of the quadratic equation x squared

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plus seven x minus thirty equals forty eight and hear

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the potential answers it is All right very matthew question

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here We need to solve this quadratic x squared plus

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seven x minus thirty equals forty eight and figure out

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what the roots would be All right Well here's the

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golden rule first solving quadratic always said one side of

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the equation equal to zero before trying to factor well

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to get one side to be zero We're going to

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need to subtract forty eight from both sides and just

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rewrite The equation is x squared plus seven x minus

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seventy eight equals zero and now we need to get

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two factors of negative seventy eight that add up to

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seven Like what Times what would be seventy eight But

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then if you also added to the seven and we

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could start thinking well alright we think it could be

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like thirty nine times to could it be three times

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thirteen and no that's It can't break down thirteen any

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further So the factors are two three and thirteen is

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any combination of those make seven So the answer is

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no not really But if we multiply the two and

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the three together we get six and six from thirteen

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is seven We need this To be negative seventy eight

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So we'll have tohave one minus sign in there when

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we're factoring and we're gonna wind up with x minus

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six times x plus thirteen that if we multiplied check

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ourselves except axes x squared than outside him outside his

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x times thirteen thirteen x minus six x yeah thirteen

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minus six is seven and then negative six times thirteen

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Yep that gets us our negative seventy eight But now

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that we're done factoring one of the routes well x

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minus six zero so one factor has got to be

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six and x plus thirteen's gotta be zero so yep

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negative thirteen is the other one so our answers eh

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You can have the answer but don't touch my gold

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