Quadratic Formula Quiz 1

Question 1

Find the roots of a quadratic equation whose coefficients are as follows, $$a=1,b=2,c=-3$$.

Accepted Answer

1, -3

Answer

-1, 3

Answer

3, -5

Answer

-3, 5

Question 2

Let two variables $$r$$ and $$s$$ be related as $$r=\dfrac{s}{4}$$. What is the value of $$r$$ if $$2{{s}^{2}}+3s-5=0$$ ?

Accepted Answer

$$\dfrac{1}{6}$$

Answer

$$-\dfrac{1}{6}$$

Answer

$$\dfrac{1}{2}$$

Answer

$$-\dfrac{1}{2}$$

Question 3

Consider the equation $${{\left( y-3 \right)}^{2}}+2\left( y+1 \right)+3=0$$. Which of the below best describes the value of $$y$$?

Accepted Answer

Unequal and imaginary

Answer

Equal and real

Answer

Unequal and real

Answer

Zero

Question 4

For what value of $$p$$ does the equation $$p{{x}^{2}}-8x+12=0$$ have equal roots?

Accepted Answer

$$\dfrac{4}{3}$$

Answer

$$-\dfrac{4}{3}$$

Answer

$$-\dfrac{3}{4}$$

Answer

$$\dfrac{3}{4}$$

Question 5

Solve the quadratic equation for the value of t. $$t+\dfrac{t+1}{t+2}=\dfrac{t}{2}$$

Accepted Answer

$$2\pm 2\sqrt{2}$$

Answer

$$2\pm \sqrt{2}$$

Answer

$$-2\pm 2\sqrt{2}$$

Answer

$$-2\pm \sqrt{2}$$