Question

103²-97²=100m. find value of m​

Answer 1

Answer:

(103)² - (97)² = 100m

(100+3)² + (100-3)² = 100m

2(100² + 3²) = 100m

2( 10000 + 9) = 100m

10009 = 50m

m = 10009 / 50

∴m = 200.18

[ IDENTITY USED: (a+b)² + (a-b)² = 2(a²+b)² ]

Step-by-step explanation:

Answer 2

$103²-97²=100 \times m \\ = > {(100 + 3)}^{2} - {(100 - 3) }^{2} = 100 \times m\\ = > ({100}^{2} + {3}^{2} + 2 \times 100 \times 3) - ( {100}^{2} + {3}^{2} - 2 \times 100 \times 3 )= 100 \times m \\ = > {100}^{2} + {3}^{2} + 600 - {100}^{2} + {3}^{2} + 600 = 100 \times m \\ = > 600 + 600 = 100 \times m \\ = > 1200 = 100 \times m \\ = > m = \frac{1200}{100} \\ = > m = 12$