Post a Lesson

Ankit Agarwal

Quest for education

13, 15.
Dislike Bookmark

Check whether the following equation is quadratic or not: square of x - 6 x - 4 = 0?

Tapas Bhattacharya

Tutor

This is a quadratic equation as highest power of x is 2.
Dislike Bookmark

Using factorization, find the roots of the quadratic equation: 9(square of x) - 16 = 0?

Tapas Bhattacharya

Tutor

9x^2 - 16=0 => (3x)^2 = 4^2 =0 => (3x + 4)(3x - 4)=0 so, 3x=4 --> x=4/3 or, 3x=-4 --> x = -4/3 Answer: x = 4/3 or -4/3.
Dislike Bookmark

Solve: 4(square of x) + 2x + 1 = 0?

Jeet Mishra

{-1+i(root3)}/4 and {-1-i(root3)}/4.
Dislike Bookmark

Determine the value of p for which the given quadratic equation has real roots: p(square of x) + 4x + 1 = 0?

Tapas Bhattacharya

Tutor

The equation: px^2 + 4x + 1=0. The roots are real if the discriminant is zero or positive. So, 4^2 - 4p >= 0 (>= means greater than or equal to). => p is smaller than or equal to 4. Answer: p must be equal to 4 or smaller.
Dislike Bookmark

The sum of a number and its reciprocal is 10/3, find the number?

Mamta Mund

Maths Tutor

Let the number be a a+(1/a)= 10/3 => a^2+1)/a = 10/3 => 3a^2+3-10a=0 => 3a^2-10a+3=0 => 3a^2-9a-a+3=0 => 3a(a-3)-1(a-3)=0 => (3a-1)(a-3)=0 => a= 3 and a = 1/3
Dislike Bookmark

A two digit number is such that the product of its digits is 12. When 36 is added to this number, the... read more
A two digit number is such that the product of its digits is 12. When 36 is added to this number, the digits interchange their places. Find the number? read less

Sarvajeet Kumar

An Experienced Trainer

36.
Dislike Bookmark

There are three consecutive positive integers such that the sum of the square of the first and the product... read more
There are three consecutive positive integers such that the sum of the square of the first and the product of the other two is 154. What are the integers? read less

Tutor

Let first three consecutive numbers are x, x+1, x+2 . According to the question, x2+(x+1)(x+2)=154. Final answer is x=8. Hence numbers are 8,9,10.
Dislike Bookmark

The hypotenuse of a grassy land in the shape of right triangle is 1 meter more than twice the shortest... read more
The hypotenuse of a grassy land in the shape of right triangle is 1 meter more than twice the shortest side. If the third side is 7 meters more than the shortest side, find the sides of the grassy land? read less

Tapas Bhattacharya

Tutor

Let the length of the shortest side be x. Then, the two sides other than the hypotenuse are x and (x + 7). So, by the given condition: (2x +1)^2 = x^2 + (x + 7)^2.
Dislike Bookmark

The difference of the squares of two numbers is 45. The squares of the smaller number is 4 times the... read more
The difference of the squares of two numbers is 45. The squares of the smaller number is 4 times the larger number. Determine the numbers? read less

Sarvajeet Kumar

An Experienced Trainer

6, 9.
Dislike Bookmark

UrbanPro.com helps you to connect with the best in India. Post Your Requirement today and get connected.

Overview

Questions 25

Total Shares

26 Followers

## Top Contributors

Connect with Expert Tutors & Institutes for Quadratic Equations

x