Description

Find all roots of a quadratic equation: ax²+bx+c=0, where the coefficients a, b, and c are float.

Use b²-4ac to judge the roots and calculate the roots r1 and r2.

Three cases of the roots:

• Case1: Two distinct real roots

• Case2: Two equal roots

• Case3: Two distinct complex roots

Input

• Three decimals ( float ) , represent three coefficients a, b, and c respectively.

• Use space to separate each decimals.

Output

• Print the judgement of the roots and the roots ( float ) round off to the four decimal place(四捨五入至小數點第四位).

• Case1: print "Two distinct real roots: r1 and r2"

• Case2: print "Two equal roots:  r1 and r2"

• Case3: print "Two distinct complex roots:  r1 and r2"

• There are spaces before and after “+” and “-”.

• Put “\n” after the result.

• Download the sample to check the format.

Sample Input  Download

Sample Output  Download

Tags

Add Tag

Discuss