Question
Solve the following quadratic equation using square roots: (x+36)2−38=251
.(1 point)
Responses
{253,−325}
left brace 253 comma negative 325 right brace
{53,19}
left brace 53 comma 19 right brace
{17.84,−13.84}
left brace 17.84 comma negative 13.84 right brace
{−19,−53}
.(1 point)
Responses
{253,−325}
left brace 253 comma negative 325 right brace
{53,19}
left brace 53 comma 19 right brace
{17.84,−13.84}
left brace 17.84 comma negative 13.84 right brace
{−19,−53}
Answers
GPT-5 mini
Solve (x + 36)^2 − 38 = 251.
1. Add 38: (x + 36)^2 = 251 + 38 = 289.
2. Take square roots: x + 36 = ±√289 = ±17.
3. Solve: x = −36 ± 17 → x = −19 or x = −53.
Answer: {−19, −53}
1. Add 38: (x + 36)^2 = 251 + 38 = 289.
2. Take square roots: x + 36 = ±√289 = ±17.
3. Solve: x = −36 ± 17 → x = −19 or x = −53.
Answer: {−19, −53}