Quadratic Formula

Q.

What is the condition for the equation $x^2+bx-c=0$ to have real roots?

1. $b^2+4ac\ge 0$

2. $b^2-4ac>0$

3. $b^2\ge -4c$

4. $b^2\ge 4c$

Q. What are the roots of the quadratic equation $a{x}^2+bx+c=0?$

1. $\frac{-b\pm \sqrt{b^2-4ac}}{2}$
2. $\frac{-b\pm \sqrt{b^2-4ac}}{2a}$
3. $\frac{-b\pm \sqrt{b^2-4ac}}{4a}$
4. $\frac{-b\pm \sqrt{b^2-4ac}}{4a}$

Q.

Find the roots of the quadratic equation $6x^2-13x+6=0$ by using the quadratic formula.

1. $\frac{2}{3},\frac{7}{2}$

2. $\frac{2}{5},\frac{3}{2}$

3. $\frac{2}{3},\frac{3}{2}$

4. $\frac{4}{3},\frac{3}{2}$

Q.

Solve the equation $x^2–2x–3=0$ using quadratic formula.

1. both of them are integers

2. one of the root is zero.

3. roots are not real

4. both of them are natural numbers

Q. Find the the roots of $-3x^2+5x+12=0$ by using the quadratic formula.

1. -$\frac{5}{3},3$
2. -$\frac{4}{3},3$
3. $\frac{5}{3},3$
4. $\frac{4}{3},3$

Q. Discriminant of the equation $a{x}^2+bx+c=0$ is given by

1. $b^2-4c$
2. $b^2+4c$
3. $b^2-4ac$
4. $b^2+4ac$

Q.

The roots of a quadratic equation $a{x}^2+bx+c=0$ are given by $\frac{-b\pm \sqrt{b^2-4ac}}{2a}$, provided $b^2–4ac\ge 0$.

1. True
2. False

Q.

The roots of a quadratic equation $a{x}^2+bx+c=0$ are given by $\frac{-b\pm \sqrt{b^2-4ac}}{2a}$, provided $b^2–4ac\ge 0$.

1. True
2. False

Q.

The roots of a quadratic equation $a{x}^2+bx+c=0$ are given by $\frac{-b\pm \sqrt{b^2-4ac}}{2a}$, provided $b^2–4ac\ge 0$.

1. True
2. False

Q.

The roots of a quadratic equation $a{x}^2+bx+c=0$ are given by $\frac{-b\pm \sqrt{b^2-4ac}}{2a}$, provided $b^2–4ac\ge 0$.

1. True
2. False