Quadratic Equations Quiz

Using the quadratic formula, solve the equation $$2x^2+5x-3=0$$ .

Using the quadratic formula, determine the roots of the equation $$4x^2-12x+9=0$$ .

Identify the number of solutions for the equation $$2x^2+4x+3=0$$ .

Identify the number of solutions for the equation $$5x^2-3x-7=0$$ .

For what value of the parameter p does the equation $$x^2-px+9=0$$ have one solution?

A ball is thrown into the air. The height of the ball at any time t is given by the equation $$h=-5t^2+20t+10$$ . Find the time it takes for the ball to hit the ground.

A ball is thrown into the air. The height of the ball at any time t is given by the equation $$h=-5t^2+20t+10$$ . From what height was the ball thrown?

A ball is thrown into the air. The height of the ball at any time t is given by the equation $$h=-5t^2+20t+10$$ . Find the maximum height the ball will reach before it falls back down.

The area of a rectangular garden is 60 square meters. The length of the garden is 4 meters more than the width. Find the dimensions of the garden.

Use the discriminant to decide which of the following statements is true for the equation $$3x^2+4x+2=0$$ .