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Okay sy mass members here we go Another quadratic for

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you what's The solution to the quadratic equation Five x

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squared equals five x minus one All right let's Get

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started on that Well the first step in the solution

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of any quadratic equation is this factoring thing and getting

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the zero thing always the first step So burn it

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into your mind and then add lotion Alright then subtract

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five x minus one from both sides that gets us

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five x squared minus five Acts plus 1 equal zero

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There are no factors of well five and one they're

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equalling five that add up to negative five Right So

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we need to use the quadratic formula if age coefficient

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of x squared b is the coefficient of acts and

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c is the constant term and one side of the

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quadratic equations he called zero Well here we go Here's

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the formula your old friend and mine So it's going

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to substitute a equals five there and b equals negative

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five and c equals one that gets us access squirrels

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uh minus minus five plus or minus square root of

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negative five squared minus four times five times one over

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in it will simplify the numerator and the denominator would

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get five plus or minus square root of twenty five

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moneys twenty all over ten keep simplifying We've got five

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plus or minus square with five over ten or five

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tense plus or minus escrow to five or ten or

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just one half plus or minus the square to five

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over ten There we go notice that we can't simplify

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the fraction square with five over ten Although five is

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a factor of five it isn't a factor of the

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square root of fives Where we have five isn't a

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factory and either So There are no common factors here

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to cancel in this fraction The right answer here is

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one half plus or minus a square with a five

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over ten it's b and that's it bye for quadratic 00:01:47.126 --> [endTime] for now good bed No

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