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Okay yes i'm ass movers More quadratic ce in polly

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and no meals here Which of the following values is

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a root of the equation Ten x squared equals thirty

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seven x minus seven Okay when you see these things

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immediately quad ratify them so we're going to get negative

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Ten x squared plus thirty seven x minus seven is

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zero See we've zero fight it then we could use

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the quadratic formula here but well we'll solve this equation

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by grouping instead It's probably easier when the coefficient of

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x squared isn't one like here It's ten or negative

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ten Actually the first step is to multiply the coefficient

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of x squared by the constant term Well here we

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get negative ten times Negative seven which makes positive seventy

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Now we need to think of two factors of this

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result here for seventy which add up to thirty seven

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So what could it be Yeah two times thirty five

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is seventy and two plus thirty five is thirty seven

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So pretty easy so we can rewrite This is thirty

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seven x thing here is to Acts plus 35 acts

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that'll help on the fact arising thing here So we're

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then gonna factor to acts from the group to simplify

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things a tad and we get well to x out

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here that multiplies through the negative five x plus one

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and then we've got the multiplying by negative seven times

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the quantity negative five expose one equal zero we've got

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negative five x plus one inside each parentheses here is

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very clever very hard to dio Very hard to recognize

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but hopefully you got it Okay so yes are factoring

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was successful and now we're going to factor out the

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negative five x plus one So we get that over

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here on the left and then we're going to multiply

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it by two x minus seven to get zero Well

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the roots can be found by setting each of the

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expressions in parentheses equals zero and just solving for x

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Right So that gets us negative Five Acts plus 1

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equals 0 and while we can subtract one from both

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sides there we get negative five x equals negative one

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Divide both sides by negative five and we get x

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equals a fifth So whoa hold up That happens to

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be be so we've technically found our answer However never

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let it be said we don't finish what we start

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to find the other route I'll do the same with

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two x minus seven thereby adding seven on both sides

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we get to act Sequel seven in the nexus seven

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abs This is a positive value not the negative values

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seen in negative seven halves there So give it up

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either So the answer is b it's one fifth and 00:02:32.903 --> [endTime] that is in fact a route of that equation

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