Digital SAT Math Practice Question #2304
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Desmos Hack: Graph the left and right sides of any equation to instantly view intersection points and filter out extraneous solutions.
Square both sides: $2x + 7 = (x - 4)^2 = x^2 - 8x + 16 \implies x^2 - 10x + 9 = 0 \implies (x - 9)(x - 1) = 0$. Check $x = 1$: $\sqrt{9} = 1 - 4 = -3$ (false, extraneous). Check $x = 9$: $\sqrt{25} = 9 - 4 = 5$ (true). Thus $x = 9$ is the o...
Distractor Analysis: Trap choice eliminates careless test-takers who confuse roots with coordinates...
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