Math, asked by anusha, 26 days ago

if 6272=2a×7b then a and b​

Answers

Answered by pyash9983
0

Answer:

Value of 4a²+49b²

Step-by-step explanation:

Given

2a + 7b = 1 and ab= -2

2a+ 7b =1

squaring on both sides

So ( 2a + 7b ) = 1² ---------(1)

formula of (a+b)²= a²+ 2×a×b+b²

Expand the equation (1)

(2a + 7b )² =1²

( 2a )²+2×2a×7b + (7b)²=1

4a²+28ab+49b²= 1

substitute ab= -2

4a²+28(-2)+49b²=1

4a²-56+49b²=1

4a²+49b²=57

The value of

4a²+49b² is 57

Answered by tagore98745
1

6272 = 2a \times 7b

6272 = 14ab

  \huge{\frac{6272}{14}  = ab}

a \times b = 448 \rightarrow \: (1)

Factor Pairs of 448

1 x 448 = 448.

2 x 224 = 448.

4 x 112 = 448.

7 x 64 = 448.

the possible values of a & b are 1, 448, 2, 224, 4, 112, 7, 64

HOPE THIS ANSWER HELPS YOU

 \dag \: \mathfrak\blue{hope \: this \: answer \: helps \: u} \:  \dag

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