Intro to Quadratic Equations

​Quadratic Equations
(Ex-6.4)

By Binita Bora

Multiple Choice

The degree of the quadratic equation is....

• 1

• 2

• 3

• 4

Multiple Choice

$$for\ an\ equation:\ ax^2+\ bx+c=\ 0\ the\ two\ roots\ are\ \alpha\ and\ \beta.\ Then\ \alpha+\beta=.....$$

• $$-\frac{b}{c}$$

• $$\frac{b}{c}$$

• $$-\frac{b}{a}$$

• $$\frac{b}{a}$$

Multiple Choice

$$for\ an\ equation:\ ax^2+\ bx+c=\ 0\ the\ two\ roots\ are\ \alpha\ and\ \beta.\ Then\ \alpha\beta=.....$$

• $$\frac{c}{b}$$

• $$\frac{c}{a}$$

• $$-\frac{c}{b}$$

• $$-\frac{c}{a}$$

Multiple Choice

If one of the roots of a quadratic equation is $$3+\sqrt[]{3}$$ , then the other root is,,,,,,

• $$-3+\sqrt[]{3}$$

• $$-3-\sqrt[]{3}$$

• $$3-\sqrt[]{3}$$

• $$3+\sqrt[]{3}$$

Multiple Choice

$$\alpha^2+\beta^2=?$$

• $$\left(\alpha+\beta\right)^2+\alpha\beta$$

• $$\left(\alpha+\beta\right)^2-\alpha\beta$$

• $$\left(\alpha+\beta\right)^2+2\alpha\beta$$

• $$\left(\alpha+\beta\right)^2-2\alpha\beta$$

Multiple Select

If one of the roots of a quadratic equation is $$\sqrt[]{7}i-3$$ , then the other root is,,,,,,

• $$-\sqrt[]{7}i-3$$

• $$\sqrt[]{7}i+3$$

• $$-\sqrt[]{7}i+3$$

• $$-3-\sqrt[]{7}i$$

Multiple Choice

$$If\ \alpha\ and\ \beta\ are\ the\ roots\ of\ the\ quadratic\ equation.\ Then,\ the\ equation\ is.....$$

• $$x^2+\left(\alpha+\beta\right)x+\alpha\beta$$

• $$x^2-\left(\alpha+\beta\right)x+\alpha\beta$$

• $$x^2+\left(\alpha+\beta\right)x-\alpha\beta$$

• $$x^{ }-\left(\alpha+\beta\right)x^2+\alpha\beta$$