Question

X square + (x-7)square=13 square Exercise --4.2 for class 10​

Answer 1

Answer:

${x}^{2} + {(x - 7)}^{2} = {13}^{2} \\ = {x}^{2} + {x}^{2} + 49 - 14x = 169 \\ = 2 {x}^{2} - 14x - 120 = 0 \\ = 2( {x}^{2} - 7x - 60) = 0 \\ = {x}^{2} - 7x - 60 \\ by \: splitting \: middle \: term \: we \: get \\ {x }^{2} - 12x + 5x - 60 \\ = x(x - 12) + 5(x - 12) \\ = (x + 5)(x - 12)$

x=-5 or x=1

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