Represent the following situation in the form of a quadratic equation:
The product of two consecutive positive integers is $306$. We need to find the integers.

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(N/A) Let the two consecutive positive integers be $x$ and $x+1$.
According to the problem,the product of these two integers is $306$.
Therefore,$x(x+1) = 306$.
Expanding the equation,we get $x^2 + x = 306$.
Subtracting $306$ from both sides,we obtain the quadratic equation: $x^2 + x - 306 = 0$.

Explore More

Similar Questions

Which of the following equations has $2$ as a root?

Who gave the general formula to solve quadratic equations?

If $x=2$ is one of the solutions of the quadratic equation $k x^{2}+3 x-4=0,$ then what is the value of $k$?

What is the value of $k$ if one of the roots of the quadratic equation $x^{2} + 6x + k = 0$ is $-4$?

If $x=\sqrt{2}$ is one of the roots of the equation $ax^{2}+\sqrt{2}bx+2c=0$; $a \neq 0$,$a, b, c \in R$,then prove that $a+b+c=0$.

Difficult
View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo