Solving a Quadratic Equation by Factorization Method

Q.

Find the number of integers that lie between the roots of the equation $x^2+7x+12=0$

1. 1

2. 7

3. 12

4. 0

Q.

By increasing the list price of a book by ₹10, a person can buy 10 books less for ₹1200. The original price of the book was :

1. ₹100
2. ₹40
3. ₹30
4. ₹24

Q.

In the method to find the roots of the quadratic equation 3$x^2$- 2$\sqrt{6}$ x + 2 = 0 using factorization method, the given equation is reduced to the form (ax+b)(cx+d). The values of a and d are

1. √3, -√2

2. -√3, √6

3. √3, √6

4. -√7, √6

Q.

Find the roots of the equation $2x^2–5x+3=0$, by factorisation method.

1. $4,2$

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

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

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

Q.

Nikhil expressed the quadratic equation $x^2+10x+16=0$ in the form $x^2+px+qx+16=0$ such that the product of p and q is 16. Choose the correct values of p and q.

1. p = -2, q= -8

2. p= 2, q= 8

3. p= 2, q= 5

4. p = 1, q = 16

Q.

The square of a number when decreased by 15 is equal to twice the original number. Which of the following are true about the numbers?

1. 8, 7

2. 9, 6

3. 2, -7

4. 5, -3

Q.

Solve the quadratic equation $x^2-9x+20=0.$

1. -5, -1

2. -2, 3

3. 5, 1

4. 4, 5

Q. If a train travelled 5 km/hr faster, it would take one hour less to travel 210 km. The speed of the train is :

1. 30 km/hr
2. 35 km/hr
3. 70 km/hr
4. 60 km/hr

Q.

Find the roots of the quadratic equation $x^2-3x+2=0$, using factorisation method.

1. $1,2$

2. $-1,2$

3. $-3,2$

4. $3,2$

Q.

Solve following equation for $x$:
$x^2-3x-10=0$

1. 5 and -2

2. -2 and -6

3. 10 and 5

4. 7 and 6