Question

देखें आपने कितना सीखा 6.5
1. दो क्रमागत सम संख्याओं के वर्गों का योगफल 164 है। संख्याएँ ज्ञात कीजिए।​

Answer 1

Answer:

SUPPOSE THAT THOSE NUMBERS ARE 2X AND (2X + 2).

=》ACCORDING TO THE QUESTION -

${(2x)}^{2} + {(2x + 2)}^{2} = 164$

$4 {x}^{2} + {4x}^{2} + 4 + 8x = 164$

$8 {x}^{2} + 8x - 160 = 0$

${x}^{2} + x - 20 = 0$

${x}^{2} + 5x - 4x - 20 = 0$

$x(x + 5) - 4(x + 5) = 0$

$(x + 5)(x - 4) = 0$

$x = - 5 \: \: and \: \: x = 4$

SO, THE NUMBERS IS –

1. 8 , 10
2. -10 , -8

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