Quadratics — Quiz 2

Questions in this quiz (8)

1. If $$x^2+6x+h=0,$$ what are the solutions for $$x$$?

   • $$\frac{-6\pm\sqrt{36+4h}}{2}$$
   • $$\frac{6\pm\sqrt{36+4h}}{2}$$
   • $$\frac{-6\pm\sqrt{36-4h}}{2}$$
   • $$\frac{-1\pm\sqrt{4-36h}}{2}$$

2. What is the sum of the solutions of the quadratic equation:$$px^2+qx+r=0?$$

   • $$-\frac{r}{p}$$
   • $$-\frac{q}{p}$$
   • $$-\frac{r}{q}$$
   • $$\frac{q}{p}$$

3. What is the product of the solutions of the quadratic equation:$$px^2+qx+r=0?$$

   • $$-\frac{r}{p}$$
   • $$\frac{q}{p}$$
   • $$\frac{r}{p}$$
   • $$-\frac{q}{p}$$

4. Which of these is a quadratic equation with solutions −2 and 4?

   • $$x^2-2x+8=0$$
   • $$x^2-2x-8=0$$
   • $$x^2+2x-8=0$$
   • $$x^2+2x+8=0$$

5. If $$px^2 + qx + r = 0$$ has exactly one solution, what is $$r$$ in terms of $$p$$ and $$q$$?

   • $$-\frac{q^2}{p}$$
   • $$\frac{q^2}{4p}$$
   • $$\frac{4q^2}{4p}$$
   • $$-\frac{q^2}{4p}$$

6. In the given equation, $$x^2 - 20x + c = 0$$, $$c$$ is a constant. The equation has no real solutions. What is the least possible value of $$n$$?

   • 400
   • 101
   • -4
   • 30

7. Which of the following quadratic equations has solutions $$x = 4p$$ and $$x = -5q$$?

   • $$x^2 - x(5q + 4p) + 20pq = 0$$
   • $$x^2 + x(5q + 4p) + 20pq = 0$$
   • $$x^2 - 20pq = 0$$
   • $$x^2 + x(5q - 4p) - 20pq = 0$$

8. $$(x+3)^2 - 8(x+3) + 16 = 0$$What is the value of $$x$$ in the above equation?

   • 8 , 2
   • -3 , 4
   • 1
   • 4