# TSI Math: Using the Quadratic Formula to Solve an Equation

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

Intermediate Algebra and Functions | Quadratic and Other Polynomial Expressions, Equations, and Functions |

Mathematics and Statistics Assessment | Quadratic and Other Polynomial Expressions, and Functions |

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TSI | Mathematics and Statistics Assessment TSI Math TSI Mathematics |

TSI Math | Intermediate Algebra and Functions |

TSI Mathematics | Intermediate Algebra and Functions |

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### Transcript

the zero thing always the first step So burn it

into your mind and then add lotion Alright then subtract

five x minus one from both sides that gets us

five x squared minus five Acts plus 1 equal zero

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

equalling five that add up to negative five Right So

we need to use the quadratic formula if age coefficient

of x squared b is the coefficient of acts and

c is the constant term and one side of the

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

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

to substitute a equals five there and b equals negative

five and c equals one that gets us access squirrels

uh minus minus five plus or minus square root of

negative five squared minus four times five times one over

in it will simplify the numerator and the denominator would

get five plus or minus square root of twenty five

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

plus or minus square with five over ten or five

tense plus or minus escrow to five or ten or

just one half plus or minus the square to five

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

the fraction square with five over ten Although five is

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

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

factory and either So There are no common factors here

to cancel in this fraction The right answer here is

one half plus or minus a square with a five

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