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Iteru [2.4K]
3 years ago
8

Find x, if 3x − 5(y + x ) ^2 = 16 and 4x + 2(y + x )^ 2 = 30

Mathematics
1 answer:
Lisa [10]3 years ago
3 0

Answer:

x is 7

Step-by-step explanation:

3x - 5(y + x)^2 = 16

3x - 16 = 5(y + x)^2

(y + x)^2 = 1/5(3x - 16) ------ eqn(I)

4x + 2(y + x)^2 = 30

2(y + x)^2 = 30 - 4x

(y + x)^2 = 1/2(30 - 4x) ------- eqn(II)

Equate eqn (I) & (II)

1/5(3x - 16) = 1/2(30 - 4x)

Multiply both sides by 10

2(3x - 16) = 5(30 - 4x)

6x - 32 = 150 - 20x

6x + 20x = 150 + 32

26x = 182

x = 182/26 = 7

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What is the nth term rule of the linear sequence below?<br> -4,-1,2,5,8,...
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The nth term of the given sequence  tₙ = 3 n - 7

Step-by-step explanation:

Given sequence   - 4 , -1 , 2 , 5, 8 , .....

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d = -1 - (-4) = -1 +4 = 3

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The difference of two terms of a given sequence is equal

∴ The given sequence is in Arithmetic progression(AP)

     The nth term of given sequence

   t _{n} = a + ( n-1 ) d

  = -4 + (n -1 ) 3 \\= - 4 + 3n - 3 \\= 3 n - 7

<u><em>Final answer:</em></u>-

The nth term of the given sequence  tₙ = 3 n - 7

         

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