If [tex]b^2-4ac=0[/tex], determine the number of real solutions of the equation [tex]ax^2+bx+c=0[/tex].

If B² - 4 A C = 0 ,
then
Ax² + Bx + C = 0 has two real roots, and they are equal.
In other words, Ax² + Bx + C is a perfect square.

Answered by AL2006 | 2024-06-10

When b 2 − 4 a c = 0 , the quadratic equation a x 2 + b x + c = 0 has one real solution. This indicates that the roots are equal and can be represented as a perfect square. The graph of such an equation will touch the x-axis at exactly one point.
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Answered by AL2006 | 2024-12-23