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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?
- Test Prep / TSI
- Intermediate Algebra and Functions / Quadratic and Other Polynomial Expressions, Equations, and Functions
- TSI / TSI Math
- TSI / TSI Mathematics
- TSI Mathematics / Intermediate Algebra and Functions
- Intermediate Algebra and Functions / Quadratic and Other Polynomial Expressions, Equations, and Functions
- Test Prep / TSI
- TSI Math / Intermediate Algebra and Functions
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
Full Transcript
- 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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