Question

Geometry help plspls pls pls pls pls

Answer 1

x = - 2.5, 1

Explanation:

In the given figure, JM and JK are the tangents drawn from the external point J to the
`\odot` L, Points K and M are points of tangency.

Since, tangents drawn from external point to a circle are congruent.

`\therefore JM = JK\\\therefore 2x^2 +3x - 2 = 3\\\therefore 2x^2 +3x - 2 -3=0\\\therefore 2x^2 +3x - 5 =0\\\therefore 2x^2 - 2x + 5x - 5 =0\\\therefore 2x(x - 1) + 5(x - 1) =0\\\therefore (x - 1) (2x+ 5) =0\\\therefore x - 1 = 0\: or \: 2x + 5= 0\\\therefore x = 1\: or \:2x = - 5\\\therefore x = 1\: or \:x = - 2.5\\\huge \purple {\boxed {\therefore x = \{-2.5,\: 1\}}}`