Question

factorise x²+(x+1)²=85​

Answer 1

Answer:

${x}^{2} + ( { x+ 1})^{2}$

${x}^{2} + {x}^{2} + 2x + 1$

$2 {x}^{2}+ 2x + 1$

The expression is not factorable with rational numbers.

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Answer 2

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factorise x²+(x+1)²=85

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$➩ {x}^{2} + {(x + 1)}^{2} = 85$

$➩ {x}^{2} + {x}^{2} + {(1)}^{2} + 2x = 85$

$➩2 {x}^{2} + 2x + 1 = 85$

$➩2 {x}^{2} + 2x = 84$

$➩2 {x}^{2} + 2x - 84 = 0$

$➩2( {x}^{2} + x - 42 = 0$

$➩ {x}^{2} + x - 42 = 0$

$➩ {x}^{2} + 7x - 6x - 42 = 0$

$➩x(x + 7) - 6(x + 7) = 0$

$➩(x - 6)(x + 7) = 0$

$➩ x = 6 \: and \: x = - 7$

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