Write a Java program named Quadratic that solves quadratic equations. The program will take input from the user for the coefficients of a quadratic equation $($ax$2+$ bx $+$ c$=0)$ and determine the nature of the roots $($real$,$ imaginary, or equal$)$ using a decision structure.

$$ If the discriminant is greater than zero, print the two distinct real roots.

$$ If the discriminant is equal to zero, print the single real root.

$$ If the discriminant is less than zero, print that the roots are imaginary.

Use DecimalFormat to get $1$ decimal max in your output.

Run #$1$

Quadratic Equation Solver

Enter the value of a: $1$

Enter the value of b: $8$

Enter the value of c: $12$

Roots of the quadratic equation:

Distinct Real Roots:

Root $1$: $-2\mathrm{.}0$

Root $2$: $-6\mathrm{.}0$

Run #$2$

Quadratic Equation Solver

Enter the value of a: $1\mathrm{.}5$

Enter the value of b: $3\mathrm{.}8$

Enter the value of c: $12$

Roots of the quadratic equation:

Imaginary Roots

Run #$3$

Quadratic Equation Solver

Enter the value of a: $4$

Enter the value of b: $-12$

Enter the value of c: $9$

Roots of the quadratic equation:

Single Real Root:

Root: $1\mathrm{.}5$