Trying to find the right answer to this..

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

Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.

Quadratic Equations

Short Answer Type

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

1383 Views

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

574 Views

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

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

533 Views

4. Check whether the following are quadratic equations:
(x – 3) (2x + 1) = x(x + 5)

542 Views

5. Check whether the following are quadratic equations:
(2x –1) (x–3) = (x + 5)(x–1)

495 Views

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

186 Views

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

156 Views

8. Check whether the following are quadratic equations:
x³ – 4x² – x + 1 = (x – 2)³.

125 Views

Long Answer Type

9. Represent the following problem situations in the form of quadratic equations:
The area of a rectangular plot is 528 m². The length of the plot (in metres) is one more than twice its breadth. We need to find the length and breadth of the plot.

387 Views

Short Answer Type

10. 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.

220 Views