In this example you will learn How do you code a quadratic equation in Java.
The standard form of a quadratic equation is:
ax2 + bx + c = 0, where
a, b and c are real numbers and a
≠0
The term b2-4ac is known as the determinant of a quadratic equation. The determinant tells the nature of the roots.
- If determinant is greater than 0, the roots are real and different.
- If determinant is equal to 0, the roots are real and equal.
- If determinant is less than 0, the roots are complex and different.
Java Code: Write a java program to find roots of a quadratic equation in all cases
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public static void main(String[] args) { double a = 1, b = -3, c = -4; double root1, root2; double determinant = b * b - 4 * a * c; // condition for real and different roots if(determinant > 0) { root1 = (-b + Math.sqrt(determinant)) / (2 * a); root2 = (-b - Math.sqrt(determinant)) / (2 * a); System.out.format("root1 = %.2f and root2 = %.2f\n", root1 , root2); } // Condition for real and equal roots else if(determinant == 0) { root1 = root2 = -b / (2 * a); System.out.format("root1 = root2 = %.2f; \n", root1); } // If roots are not real else { double realPart = -b / (2 *a); double imaginaryPart = Math.sqrt(-determinant) / (2 * a); System.out.format("root1 = %.2f+%.2fi and root2 = %.2f-%.2fi \n", realPart, imaginaryPart, realPart, imaginaryPart); } } |
Output:
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