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SAT Math Practice Question #31521 - SATify | SATify

#31521

optimization

quadratic equations

equations

medium

60 sec

Which of the following statements must be true if the quadratic equation $a x^{2} + b x + c = 0$ (where $a \neq = 0$ ) has exactly one distinct real solution?

A.

The graph of $y = a x^{2} + b x + c$ intersects the x-axis at two points.

B.

The discriminant $b^{2} - 4 a c$ is negative.

C.

The vertex of the parabola $y = a x^{2} + b x + c$ lies on the x-axis.

D.

The value of $c$ must be zero.