0 mehakNewbie Asked: June 28, 20232023-06-28T11:37:08+05:30 2023-06-28T11:37:08+05:30In: CBSE 2. In each of the following, determine whether the given values are solutions of the given equation or not: (i) x2 – 3x + 2 = 0 , x = 2 , x = – 1 0 Explain, how did we split the number in the equation. How to prove? Class 10th, Statistics, Rd sharma, Mathematics. quadratic equations cbserd sharma class 10th Share Facebook 1 Answer Voted Oldest Recent [Deleted User] 2023-07-03T12:45:33+05:30Added an answer on July 3, 2023 at 12:45 pm Solution: Here we have, LHS = x2 – 3x + 2 Substituting x = 2 in LHS, we get (2)2 – 3(2) + 2 ⇒ 4 – 6 + 2 = 0 = RHS ⇒ LHS = RHS Thus, x = 2 is a solution of the given equation. Similarly, Substituting x = -1 in LHS, we get (-1)2 – 3(-1) + 2 ⇒ 1 + 3 + 2 = 6 ≠ RHS ⇒ LHS ≠ RHS Thus, x = -1 is not a solution to the given equation. 0 Reply Share Share Share on Facebook Share on Twitter Share on LinkedIn Share on WhatsApp Leave an answerLeave an answerCancel reply Featured image Select file Browse Add a Video to describe the problem better. Video type Youtube Vimeo Dailymotion Facebook Choose from here the video type. Video ID Put Video ID here: https://www.youtube.com/watch?v=sdUUx5FdySs Ex: "sdUUx5FdySs". Click on image to update the captcha. Visual Text Save my name, email, and website in this browser for the next time I comment. Related Questions 16. A copper sphere of radius 3 cm is melted and recast into a right circular cone of ... 17. A copper rod of diameter 1 cm and length 8 cm is drawn into a wire of ... 18. The diameters of the internal and external surfaces of a hollow spherical shell are 10cm and 6 ... 19. How many coins 1.75 cm in diameter and 2 mm thick must be melted to form a ... 20. The surface area of a solid metallic sphere is 616 cm2. It is melted and recast into ...
Solution:
Here we have,
LHS = x2 – 3x + 2
Substituting x = 2 in LHS, we get
(2)2 – 3(2) + 2
⇒ 4 – 6 + 2 = 0 = RHS
⇒ LHS = RHS
Thus, x = 2 is a solution of the given equation.
Similarly,
Substituting x = -1 in LHS, we get
(-1)2 – 3(-1) + 2
⇒ 1 + 3 + 2 = 6 ≠ RHS
⇒ LHS ≠ RHS
Thus, x = -1 is not a solution to the given equation.