Check whether the following are quadratic equations: x 2 + 3x + 1 = (x – 2) 2 - Wired Faculty

Quadratic Equations

Question

Check whether the following are quadratic equations:
x² + 3x + 1 = (x – 2)²

Solution

R.H.S. = (x – 2)² = x² – 4x + 4
∴ x² + 3x + 1 = x² –4x + 4
⇒ 3x + 4x + 1 – 4 = 0
⇒ 7x – 3 = 0
∵ It is not of the form ax² + bx + c = 0.
Hence, the given equation is not a quadratic equation.

Some More Questions From Quadratic Equations Chapter

Represent the following problem situations in the form of quadratic equations:
The product of two consecutive positive integers is 306. We need to find the integers.

Represent the following problem situations in the form of quadratic equations:
Rohan’s mother is 26 years older than him. The product of their ages (in years) 3 years from now will be 360. We would like to find Rohan’s present age.

Find the roots of the following quadratic equations by factorisation method:
x² – 3x – 10 = 0

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John and Jivanti together have 45 marbles. Both of them lost 5 marbles each, and the product of the number of marbles they now have is 124. We would like to find out how many marbles they had to start with.

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Quadratic Equations

Check whether the following are quadratic equations:
x² + 3x + 1 = (x – 2)²

Some More Questions From Quadratic Equations Chapter

Represent the following problem situations in the form of quadratic equations:
The product of two consecutive positive integers is 306. We need to find the integers.

Represent the following problem situations in the form of quadratic equations:
Rohan’s mother is 26 years older than him. The product of their ages (in years) 3 years from now will be 360. We would like to find Rohan’s present age.

Find the roots of the following quadratic equations by factorisation method:
x² – 3x – 10 = 0

Find the roots of the following quadratic equations by factorisation method:
2x² + x – 6 = 0

John and Jivanti together have 45 marbles. Both of them lost 5 marbles each, and the product of the number of marbles they now have is 124. We would like to find out how many marbles they had to start with.

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

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For Daily Free Study Material Join wiredfaculty

Quadratic Equations

Check whether the following are quadratic equations:x2 + 3x + 1 = (x – 2)2

Some More Questions From Quadratic Equations Chapter

Represent the following problem situations in the form of quadratic equations:The product of two consecutive positive integers is 306. We need to find the integers.

Represent the following problem situations in the form of quadratic equations:Rohan’s mother is 26 years older than him. The product of their ages (in years) 3 years from now will be 360. We would like to find Rohan’s present age.

Find the roots of the following quadratic equations by factorisation method:x2 – 3x – 10 = 0

Find the roots of the following quadratic equations by factorisation method:2x2 + x – 6 = 0

John and Jivanti together have 45 marbles. Both of them lost 5 marbles each, and the product of the number of marbles they now have is 124. We would like to find out how many marbles they had to start with.

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Check whether the following are quadratic equations:
x² + 3x + 1 = (x – 2)²

Represent the following problem situations in the form of quadratic equations:
The product of two consecutive positive integers is 306. We need to find the integers.

Represent the following problem situations in the form of quadratic equations:
Rohan’s mother is 26 years older than him. The product of their ages (in years) 3 years from now will be 360. We would like to find Rohan’s present age.

Find the roots of the following quadratic equations by factorisation method:
x² – 3x – 10 = 0

Find the roots of the following quadratic equations by factorisation method:
2x² + x – 6 = 0