Homework SourseProve The quadratic equation 0ax2bxc has exactly one solutio
Prove: The quadratic equation 0=ax^2+bx+c has exactly one solution if and only if b^2=4ac.
Prove: The quadratic equation 0=ax^2+bx+c has exactly one solution if and only if b^2=4ac.
Prove: The quadratic equation 0=ax^2+bx+c has exactly one solution if and only if b^2=4ac.
Solution
The quadratic equation has exactly one solution if and only if the discriminant is zero.
In the above formula, the expression b^2 - 4ac is called the discriminant of the quadratic equation 0=ax^2+bx+c .
hence b^2 - 4ac = 0
or b^2 = 4ac
