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tensa zangetsu [6.8K]
2 years ago
10

In your own words, explain the discriminant test. Use the discriminant test to decide whether the equation represents a parabola

, ellipse or a hyperbola and explain why you know this is true. x^2 − 4xy + 3x + 25y − 6 = 0
Mathematics
1 answer:
lapo4ka [179]2 years ago
8 0

A discriminant test is one that tells whether a formula has one, two or no solutions.

The equation represents a parabola because the discriminant of a parabola has either x or y squared and not the both.

<h3>What is a discriminant test?</h3>

A discriminant test is a test that tells whether there are one, two or no solutions for a formula.

The discriminant is the part of the quadratic formula underneath the square root symbol: b²-4ac.

The discriminant of a quadratic equation is given as ax2 + bx + c = 0

A discriminant is said to be a parabola either x or y is squared and not both unlike that of an eclipse and a hyperbola.

With the given equation,  x^2 − 4xy + 3x + 25y − 6 = 0, only x is squared and not both x and y.

Thus, the equation represents a parabola because the discriminant of a parabola has either x or y squared and not the both.

Learn more about discriminant test here:

brainly.com/question/4220311

#SPJ1

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