Question

If x4 + 1 = 1297 and y4 – 1 = 2400, then y2 – x2​

Answer 1

Answer:

13

Step-by-step explanation:

${x}^{4} + 1 = 1297 \\ {x}^{4} = 1297 - 1 = 1296 \\ {x}^{4} = 6$

$similarly \\ {y}^{4} - 1 = 2400 \\ {y}^{4} = 2401 \\ y = 7$

$now \\ {y}^{2} - {x}^{2} = {7}^{2} - {6 }^{2} \\ {y}^{2} - {x}^{2} = 13$

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