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Nonlinear equations in one variable and systems of equations in two variables SAT question

Math · Advanced Math · Medium · Answer it here, explanation included.

$x squared, minus x, minus 1, equals 0$

What values satisfy the equation above?

ExplanationShow

Choice C is correct. Using the quadratic formula to solve the given expression yields $x equals, the fraction with numerator negative, open parenthesis, negative 1, close parenthesis, plus or minus, the square root of open parenthesis, negative 1, close parenthesis, squared, minus, 4 times 1 times negative 1, end root, and denominator, 2 times 1, end fraction, which equals, the fraction with numerator 1, plus or minus, the square root of 5, and denominator 2$ . Therefore, $x equals, the fraction with numerator 1 plus the square root of 5, and denominator 2$ and $x equals, the fraction with numerator 1 minus the square root of 5, and denominator 2$ satisfy the given equation.

Choices A and B are incorrect and may result from incorrectly factoring or incorrectly applying the quadratic formula. Choice D is incorrect and may result from a sign error.

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Nonlinear equations in one variable and systems of equations in two variables SAT question

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