What are the zeros of f(x) = x2 - x - 30?

f

(

x

)

=

x

2

+

x

−

30

Replace  

f

(

x

)

with  

y

.

y

=

x

2

+

x

−

30

To find the roots of the equation, replace  

y

with  

0

and solve.

0

=

x

2

+

x

−

30

Rewrite the equation as  

x

2

+

x

−

30

=

0

.

x

2

+

x

−

30

=

0

Factor  

x

2

+

x

−

30

using the AC method.

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Consider the form  

x

2

+

b

x

+

c

. Find a pair of integers whose product is  

c

and whose sum is  

b

. In this case, whose product is  

−

30

and whose sum is  

1

.

−

5

,

6

=

0

Write the factored form using these integers.

(

x

−

5

)

(

x

+

6

)

=

0

Set  

x

−

5

equal to  

0

and solve for  

x

.

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Set the factor equal to  

0

.

x

−

5

=

0

Add  

5

to both sides of the equation.

x

=

5

Set  

x

+

6

equal to  

0

and solve for  

x

.

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Set the factor equal to  

0

.

x

+

6

=

0

Subtract  

6

from both sides of the equation.

x

=

−

6

The solution is the result of  

x

−

5

=

0

and  

x

+

6

=

0

.

x

=

5

,

−

6

Step-by-step explanation:

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step-by-step explanation: