Question

3x+x√3-2=0. Find value of x​

Answer 1

`\sf \: 3x + x √(3) - 2 = 0 \\ \\ \sf \longrightarrow 3x + √(3) x = 2 \\ \\ \sf \longrightarrow √(3)x ( √(3) +1 ) = 2 \\ \\ \sf \longrightarrow √(3) x = (2)/( √(3) + 1 ) \\ \\ \sf \longrightarrow x = (2)/( √(3)( √(3) + 1) ) \\ \\ \sf \longrightarrow x = (2)/(3 + √(3) ) \\ \\ \tt{You\:can\:stop\:here\:if\:you\:\bold{don't}\:want\:to }\\ \tt{ \:simplify\:in\:decimal\:form.}\\ \\ \sf \longrightarrow x = (2(3 - √(3) ))/((3 + √(3))(3 - √(3) )) \\ \\ \sf \longrightarrow x = \frac{6 - 2 √(3) }{ {3}^(2) - {( √(3)) }^(2) } \\ \\ \sf \longrightarrow x = (6 - 2(1.732))/(9 - 3) \\ \\ \sf \longrightarrow x = (2.536)/(6) \\ \\ \leadsto \underline{\boxed{\sf{\pink{x \approx 0.4226}}}}`