Question

If the point（x-2,x²-4）lies on x axis and is not the origin,then find the value of x.​

Answer 1

$\huge\mathcal{\fcolorbox{cyan}{black}{\pink{ANSWER}}}$

If the point（x-2,x²-4）lies on x axis and is not the origin, then

${x}^{2} - 4 = 0 \\ \implies \: {x}^{2} = 4 \\ \implies \: x = \sqrt{4} = \pm \: 2 \\ \\ now \: if \: \\ x = 2 \: \: \: then \: 2 - 2 = 0 \: \: which \: is \: located \:in\: origin \: \\ \\ \: so \\ \: x \neq2 \\ \\ if \: \: x = - 2 \: \: \: then \: - 2 - 2 = - 4 \\ \\ \\ so \: \: \: x = - 2$