If (a,a + square root 3) lies on the graph of y=2x, then a = ?

2 answers:

7 0

If the point
$(a \: \: a \sqrt{3} )$
lies on
$y = 2x$
then it must satisfy it.

That is

$a + \sqrt{3} = 2(a)$
$\rightarrow \: a + \sqrt{3} = 2a$

Grouping like terms we have,

$\sqrt{3} = 2a - a$
$\therefore \: a = \sqrt{3}$

Ad libitum [116K]3 years ago

5 0

Start with y = 2x. Subst. a for x and a+sqrt(3) for y:

a+sqrt(3) = 2a

Subtracting a from both sides: sqrt(3) = a

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