Question

(×+6)×(×+2)=× Find the value of ×​

Answer 1

$\bf{\red{\underline{QUESTION:-}}}$

$\sf (x+6)×(x+2)=x$ Find value of x

$\bf{\underline{\red{Solution:-}}}$

$\bf → (x+6)(x+2)=x$

$\bf→ x^2 + 2x + 6x + 12 = x$

$\bf → x^2 + 8x + 12 - x = 0$

$\bf → x^2 + 7x + 12 = 0$

$\bf{\underline{\red{\fbox{BY\: SPLITTING\:METHOD}}}}$

$\bf → x^2 +(4+3)x + 12 =0$

$\bf → x^2 + 4x + 3x + 12 = 0$

$\bf → x(x+4) +3 (x+4)=0$

$\bf → (x+3)(x+4)=0$

$\bf → x + 3 = 0$

$\bf → x = -3$ either

$\bf → x + 4 = 0$

$\bf → x = -4$

$\bf{\underline{\red{HENCE:-}}}$

• Value of X = -3 and -4

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