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Checking the value of the discriminant D for a quadratic equation. Part 2.

Author: shiroeExecutions: 42
TOP/Shared Formulas (Math)/General Math

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We will examine the discriminant D of a quadratic equation.
Consider the quadratic equation ax² + bx + c = 0.
a and b are coefficients. c is the constant term. Assume that a is not zero.

Here, we will deal with cases where the discriminant D is positive and is a fraction with integer ratios.
For the square root term √D in the quadratic formula, we will check whether there are numerators and denominators that can be factored out.
This is the case where both the numerator and denominator are natural numbers. (The numerator may be 0.)
Let the form before checking be √D.
Let the form after checking be k√E.
k is the fraction that could be moved outside the radical. E is the fraction that remains inside the radical.
Enter a non-zero number for a.
Enter a, b, and c as fractions.
Neither input nor output supports mixed fractions.
Complex numbers (with a non-zero imaginary part) are not supported.
a numerator
Enter a non-zero number.
a denominator
Enter a non-zero number.
b-molecule
b denominator
Enter a non-zero number.
c-molecule
c denominator
Enter a non-zero number.
The value of a  (Numerator/Denominator) (Decimal format)
The value of b  (Numerator/Denominator) (Decimal format)
Value of c  (Numerator/Denominator) (Decimal format)
Value of D (unprocessed)  (Numerator/Denominator) (Decimal format)
Value of k  (Numerator/Denominator) (Decimal format)
Value of E  (Numerator/Denominator) (Decimal format)
The numerator of D  (Unprocessed)
The denominator of D  (Unprocessed)
k-molecule  (The numerator of the expression that can be moved outside the radical)
k denominator  The denominator of (the number that can be taken out of the radical)
E-molecule  (The numerator of the number remaining inside the radical)
E denominator  (The denominator of the number remaining inside the radical)
R5 (2023). July 16 (Sun)_test_001
R6 (2024). February 13 (Tue)_Revised.
R6 (2024). May 12 (Sun)_Ver. 002

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