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#32210

functions

graphs

parabola

quadratic equations

equations

algebra

hard

150 sec

In the given system of equations, $p$ is a constant.

$y = 4 x^{2} + 10 x + p$
$y = 6 x - 1$

The graphs of the equations in the given system intersect at exactly one point, $(x, y)$ , in the $x y$ -plane. What is the value of $x$ ?

• Up to 5 characters (6 if negative). Only numbers, decimal (.), fraction (/), negative (-).
• Fractions must be in lowest terms.
• Mixed numbers must be converted to improper fractions.