Question

If 2 is a root of the equation x2 + ax + 12 = 0 and the quadratic equation
x2 + ax +q=0 has equal roots, then q=

Answer 1

Answer:

$\mathfrak{\large \red{\underline{\underline{a = - 8 \: \: and \: \: q \: = 12}}}}$

Step-by-step explanation:

$\mathfrak{ \large \bold \red{ \underline{ \underline{given}}}} \\ \large \bold{2 \: is \: a \:root \: of \: equation \: = {x}^{2} + ax + 12 = 0 } \\ \large \green{ \underline{explanation}} \\ \\ \large \bold{put \: the \: value \: of \: 2 \: in \: equation} \\ \large \bold{ {2}^{2} + 2a + 12 = 0 } \\\large \bold{2a + 16 = 0} \\ \large \bold{a = - 8} \\ \\ \large \orange{x {}^{2} + ax + q = 0 } \\ \\ \large \bold \red{ \underline{put \: the \: value \: of \: a \: and \: x \: in \: above \: equation \: then \: you \: will \: find \: q}} \\ \large \bold{2 {}^{2} + ( - 8)(2) + q = 0 } \\ \large \bold{4 - 16 + q = 0} \\ \large \bold{ - 12 + q = 0} \\ \large \bold \blue{q = 12}$