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3 years ago

F(x)=-12x - 2x + 60x² +14x-60

Mathematics

1 answer:

Leona [35]3 years ago

3 0

Answer:

x=±1. are the factors of the quadratic equation.

Step-by-step explanation:

Given quadratic expression, f(x)=-12x - 2x + 60x² +14x-60

Rearranging and adding the terms in the expression and equating to zero.

f(x)= 60x² -60=0

60(x² - 1) =0

The zero product property states that if the product of a⋅b=0 then either a or b equal zero or both of them must be equal to zero. This basic property helps us solve the quadratic equations like (x+2)(x-5)=0 where x =-2,5.

from the zero product property we can infer that 60≠0⇒x² - 1=0

⇒(x+1)×(x-1) = 0

⇒x=±1.

Therefore, x=±1. are the factors of the quadratic equation.

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#1 √ 75

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#2 √ 48

Answer : 4√3 or ≈ 6.9282

#3 √ 128

Answer : 8√2 or ≈ 11.31371

#4 √ 300

Answer : 10√3 or ≈ 17.32051

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#5 √⅔

Answer :

$\frac{ \sqrt{6} }{3} = 0.816497$

#6 √16/4

Answer : 2

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$\frac{ \sqrt{3} }{2} = 0.866025$

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~~

I hope that helps you out!!

Any more questions, please feel free to ask me and I will gladly help you out!!

~Zoey

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