Algebra-1

To determine the number of solutions of the given system of equations, we follow these steps:

Step 1: Set the two equations equal to each other

Since both equations are equal to , we set .

Step 2: Rearrange the equation into standard quadratic form

Subtract  from both sides of the equation:

Step 3: Simplify the quadratic equation

We can divide the entire equation by  to simplify it:

Step 4: Calculate the discriminant

For a quadratic equation of the form , the discriminant

Click "Show Answer" to reveal the answer and analysis