Merge pull request #20 from dhakalnirajan/updates

Uploaded False Position Method code for NM Lab.

Author: dhakalnirajan

Third Year/Fifth Semester/Numerical Method Lab/False Position Method - Lab 3.cpp

@@ -0,0 +1,38 @@
+#include <stdio.h>
+#include <math.h>
+
+#define f(x) (x*x + 5*x - 8)
+#define e 0.0001
+
+int main() {
+    float x1, x2, x0, f1, f2, f0;
+
+    do {
+        printf("Enter any two variables: ");
+        scanf("%f%f", &x1, &x2);
+        f1 = f(x1);
+        f2 = f(x2);
+    } while (f1 * f2 > 0);
+
+    do {
+        x0 = x1-((x2 - x1) / (f2 - f1)) * f1; // False-position formula
+        f0 = f(x0);
+
+        if (f0 == 0) {
+            break;
+        }
+
+        if (f1 * f0 < 0) {
+            x2 = x0;
+            f2 = f0;
+        } else {
+            x1 = x0;
+            f1 = f0;
+        }
+
+    } while (fabs(x2 - x1) >= e);
+
+    printf("Required Root is: %f", x0);
+
+    return 0;
+}