Digital SAT Math Practice Question #2316
Test your problem-solving accuracy on this official-caliber item. Select an answer choice to check your reasoning instantly.
Desmos Hack: Graph the left and right sides of any equation to instantly view intersection points and filter out extraneous solutions.
Square both sides: $4x + 9 = x^2 - 6x + 9 \implies x^2 - 10x = 0 \implies x(x - 10) = 0$. Check $x = 0$: $\sqrt{9} = 0 - 3$ (false, $-3$). Check $x = 10$: $\sqrt{49} = 10 - 3 = 7$ (true). Thus only $\{10\}$....
Distractor Analysis: Trap choice eliminates careless test-takers who confuse roots with coordinates...
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