SAT Math Practice Question #23815 - SATify | SATify

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SAT Math Practice Question #23815 - SATify | SATify

#23815

quadratic equations

algebra

hard

150 sec

The quadratic equation $x^{2} + A x + B = 0$ has roots that are half those of $x^{2} + C x + A = 0$ . None of $A, B, C$ is zero. What is the value of $\frac{B}{C}$ ?

A.

$\frac{1}{16}$

B.

$\frac{1}{8}$

C.

$\frac{1}{4}$

D.

$4$

E.

$8$