Answer
a) $\sqrt{2x+3}=\sqrt{4x-3}$
b) $x=3$
Work Step by Step
a) The required equation will be:
$$\sqrt{2x+3}=\sqrt{4x-3}$$
b) The $x$-coordinate of the intersection point is $x=3$. This is the solution of the equation.
Check if the solution is correct:
$$\sqrt{2(3)+3}\stackrel{?}{=}\sqrt{4(3)-3}$$
$$\sqrt{9}\stackrel{?}{=}\sqrt{9}$$
$$3=3\checkmark$$
