# ACT Aspire Math: Finding the Roots of a Quadratic Equation

What are the roots of the quadratic equation x2 + 7x = 60?

ACT Aspire | Math |

ACT Aspire Math | Algebra |

Math | Algebra |

Product Type | ACT Aspire |

Test Prep | ACT Aspire ACT Aspire Math |

### Transcript

this quadratic what a total zero it is Go ahead

yell at it like you're drake raging it Kendrick perkins

you know about the hymn of his capris So we

have x squared plus seven Acts minus 60 is 0

Now think of the two Numbers that multiply 2 negative

60 and add up to seven Keeping in mind that

the bigger number must be negative since their product is

a negative number And there some is a positive number

while the Numbers 10 and negative 6 months played sixty

but their sums for so that can't be it The

Numbers 12 in negative 5 apply to negative sixty and

they add up to seven So yeah bingo Now we

can factor our first step to solving the problem So

we have x plus twelve and then x minus five

Well twelve and five are both prominently featured in two

of our answer choices A nd right here before randomly

just choosing one Let's take a second to set each

of these terms equal to zero We can do this

because what we know their product is zero right Anything

Times zero zero set up the equation X plus twelve

is zero which gives us the route x is negative

Twelve Then if we set x minus five to zero

well that corresponds to the route x equals five so 00:01:27.523 --> [endTime] yeah ay is the correct answer