Chapter 4 · Question 1

Define a quadratic equation and identify aa, bb, and cc in 2x2+x300=02x^2+x-300=0.

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Q1

Define a quadratic equation and identify aa, bb, and cc in 2x2+x300=02x^2+x-300=0.

Answer Revealed
Direct Answer:
A quadratic equation in xx is ax2+bx+c=0ax^2+bx+c=0, where a,b,ca,b,c are real numbers and a0a\ne0. In 2x2+x300=02x^2+x-300=0, a=2a=2, b=1b=1, c=300c=-300.

Simple Explanation

A quadratic equation has highest power 22. Here the coefficient of x2x^2 is 22, of xx is 11, and constant is 300-300.

Exam-Ready Structure

The standard form is ax2+bx+c=0ax^2+bx+c=0, with a0a\ne0. Comparing 2x2+x300=02x^2+x-300=0 with standard form gives a=2a=2, b=1b=1, and c=300c=-300. This equation came from the area model of a rectangular hall in the NCERT introduction.

Key Points

  • A quadratic equation in xx is ax2+bx+c=0ax^2+bx+c=0, where a,b,ca,b,c are real numbers and a0a\ne0.
  • Use the NCERT formula or theorem carefully.
  • Write units and final conclusion where applicable.