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Over [174]
3 years ago
9

PLEASE HELP:

Mathematics
2 answers:
puteri [66]3 years ago
8 0
3x^2 + 11x - 4 = 0

x^2 + (11/3)x = 4/3

(x+11/6)^2 = 169/36

Answer is B.

Charra [1.4K]3 years ago
5 0

Answer:

(x +\frac{11}{6})^2=\frac{169}{36}

Step-by-step explanation:

3x^{2} +11x-4=0

Divide the whole equation by 3

x^{2} +\frac{11}{3}x-\frac{4}{3}=0

Shift the constant term to the other side

x^{2} +\frac{11}{3}x=\frac{4}{3}

Add and subtract the square of half of the coefficient of  x

x^{2} +\frac{11}{3}x+(\frac{11}{6})^2-(\frac{11}{6})^2=\frac{4}{3}

Using identity : a^2+2ab+b^2 =(a+b)^2

(x +\frac{11}{6})^2-\frac{121}{36}=\frac{4}{3}

(x +\frac{11}{6})^2=\frac{4}{3}+\frac{121}{36}

(x +\frac{11}{6})^2=\frac{169}{36}

Hence Option B is correct . (x +\frac{11}{6})^2=\frac{169}{36}

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Answer:

Option D is correct.

Explanation:

Commutative Property of Multiplication define that two numbers can be multiplied in any order.

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Given:

A = ( 4\times 3) + (2 \times 4 )= ( 4\times 3) + (4 \times 2 )

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then;

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Using Commutative property of Multiplication we can write 2 \times 4 = 4 \times 2 then we have;

( 4\times 3) + (2 \times 4 ) = ( 4\times 3) + (4 \times 2 )

Using Distributive property of multiplication;

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by using associative property of multiplication ,

4 \times (3+2) = 4 \times 5

Therefore, the reasons  for A , B and C in this proof are;

A.commutative property of multiplication

B. distributive property

C. associative property of multiplication



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