Home / Questions / Write a Java expression for the following: \[ \frac{\sqrt{3x + x^2}}{a + b} \]
Explanatory Question

Write a Java expression for the following:

\[ \frac{\sqrt{3x + x^2}}{a + b} \]

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Answer with Explanation

Math.sqrt(3 * x + x * x) / (a + b)

Practice with a program

Here's a simple Java program that calculates the given mathematical expression:


public class MathExpression {
    public static void main(String[] args) {
        // Define values for x, a, and b
        double x = 5; // Example value for x
        double a = 2; // Example value for a
        double b = 3; // Example value for b

        // Calculate the expression: Math.sqrt(3 * x + x * x) / (a + b)
        double result = Math.sqrt(3 * x + x * x) / (a + b);

        // Display the result
        System.out.println("Result: " + result);
    }
}

Explanation:

  • 3 * x + x * x computes the numerator inside the square root.
  • Math.sqrt(...) takes the square root of that numerator.
  • The denominator is (a + b).
  • The final result is obtained by dividing the square root value by (a + b).

You can modify the values of x, a, and b to test different cases. 🚀