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spin [16.1K]
3 years ago
15

I need help with number 16

Mathematics
2 answers:
Sladkaya [172]3 years ago
8 0

You are correct

for example f(1) = 3

and   f(2) = f(2-1) - 2

= f(1) - 2

= 3 - 2 = 1

lana [24]3 years ago
5 0

f(n) = f(n-1) - 2

f(1) = 3        eq1

f(2) = f(2-1) - 2

     = f(1) - 2.   put value from eq1 here

     = 3 - 2

     = 1

f(3) = f ( 3 - 1 ) - 2

     = f(2) - 2

     = 1 - 2

     = -1

f(4) = f( 4 -1 ) - 2

     = f( 3 ) - 2

     =  -1 - 2

     = -3


3,1,-1,-3



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FrozenT [24]
√10x-24 = x


Step by step solution :

STEP
1
:
Isolate the square root on the left hand side

Radical already isolated
√10x-24 = x


STEP
2
:
Eliminate the radical on the left hand side

Raise both sides to the second power
(√10x-24)2 = (x)2

After squaring
10x-24 = x2


STEP
3
:
Solve the quadratic equation

Rearranged equation
x2 - 10x + 24 = 0

This equation has two rational roots:
{x1, x2}={6, 4}


STEP
4
:
Check that the first solution is correct

Original equation
√10x-24 = x

Plug in 6 for x
√10•(6)-24 = (6)

Simplify
√36 = 6
Solution checks !!
Solution is:
x = 6

STEP
5
:
Check that the second solution is correct

Original equation
√10x-24 = x

Plug in 4 for x
√10•(4)-24 = (4)

Simplify
√16 = 4
Solution checks !!
Solution is:
x = 4
7 0
3 years ago
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