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Quadratic and Other Polynomial Expressions, Equations, and Functions Videos 18 videos

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TSI Math: Solving a Quadratic Equation for x
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What is x for the equation 2x² + 36 = -18x?

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TSI Math: Using the Quadratic Formula to Solve an Equation 14 Views


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Description:

What is the solution to the quadratic equation 5x² = 5x – 1?


Transcript

00:02

Okay sy mass members here we go Another quadratic for

00:04

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

00:08

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

00:14

started on that Well the first step in the solution

00:16

of any quadratic equation is this factoring thing and getting

00:19

the zero thing always the first step So burn it

00:22

into your mind and then add lotion Alright then subtract

00:26

five x minus one from both sides that gets us

00:28

five x squared minus five Acts plus 1 equal zero

00:32

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

00:35

equalling five that add up to negative five Right So

00:39

we need to use the quadratic formula if age coefficient

00:42

of x squared b is the coefficient of acts and

00:45

c is the constant term and one side of the

00:48

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

00:50

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

00:53

to substitute a equals five there and b equals negative

00:57

five and c equals one that gets us access squirrels

01:01

uh minus minus five plus or minus square root of

01:04

negative five squared minus four times five times one over

01:08

in it will simplify the numerator and the denominator would

01:11

get five plus or minus square root of twenty five

01:13

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

01:17

plus or minus square with five over ten or five

01:21

tense plus or minus escrow to five or ten or

01:23

just one half plus or minus the square to five

01:26

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

01:28

the fraction square with five over ten Although five is

01:31

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

01:33

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

01:35

factory and either So There are no common factors here

01:38

to cancel in this fraction The right answer here is

01:41

one half plus or minus a square with a five

01:43

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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