Find a natural number when diminished by 84
WebFind a natural number whose square diminished by 84 is equal to thrice of 8 more than the given number. Solution: Let the natural number = ‘x’. According to the question, We get the equation, x² – 84 = 3(x+8) x² – 84 = 3x + 24. x² – 3x – 84 – 24 = 0. x² – 3x – 108 = 0. WebJun 10, 2024 · "The square of a number diminished by 84" is just n^2 - 84 "Thrice eight added to the number" is 3 (n + 8) Now we equate them and move everything to the left …
Find a natural number when diminished by 84
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WebLet the natural number = x. It is given that when the square of x is diminished by 84 then it is equal to thrice of 8 more than x. x = 12, – 9 . We can’t take – 9 because it is given that x is a natural number. Hence x = 12 is the required natural number. WebMar 23, 2024 · The value of a natural number can never be negative. Therefore, the natural number is 8. Note: We can solve equation 1 by using the factor method. x + 12 = 160 ( 1 x) … …. ( 1) Multiply with x on both the sides. ⇒ x 2 + 12 x − 160 = 0 Here the 12x can be written as 20x-8x. ⇒ x 2 + 20 x − 8 x − 160 = 0 ⇒ x ( x + 20) − 8 ( x + 20) = 0
WebFind a natural number whose square diminished by 84, is equal to thrice of 8 more than the given number. Class 10. >> Maths. >> Quadratic Equations. >> Standard Form of … WebFind a natural number whose square when decreased by 84 is equal to 24 more than thrice the given number. A 11 B 15 C 12 D 14 Open in App Solution The correct option is B 12 Let n be a required natural number. Square of a natural number diminished by 84 = n2−84 24 more than thrice the given number = 3n + 24 Now, by given condition,
WebJun 5, 2024 · Find two consecutive numbers whose squares have the sum 85. (C.B.S.E. 2000) Solution: Let first number = x Then second number = x + 1 According to the … WebMar 7, 2024 · WebFind a natural number whose square diminished by 84 is equal to thrice of 8 more than the given number. Solution: Let the required natural number be x. …
WebFind a natural number whose square diminished . . . Problem : Find a natural number whose square diminished by 84 is equal to thrice of 8 more than the given number. Doubt by Muskan Solution : Let the natural number be x. ATQ x 2 - 84 = 3 ( 8 + x) x 2 - 84 = 24 + 3x x 2 - 84 - 24 - 3x = 0 x 2 - 108 - 3x = 0 x 2 - 3x - 108 = 0
WebMar 31, 2024 · Find a natural number whose square diminished by 84 is equal to thrice of 8 more than the given number Viewed by: 5,535 students Updated on: Mar 31, 2024 1 … cccs schoolsWebsquare of x diminished by 5 bus tallinn warsawWebOct 10, 2024 · Find the smallest number by which the following number must be multiplied so as to get a perfect square? Also find the number whose square is the new number.7776; Find the first natural number whose factorial is divisible by x in C++; Find the Next perfect square greater than a given number in C++; Find the smallest number … bust a lock omaha neWebsquare of x diminished by 5 cccs short formWebView Answer Ques. Find the least number that being increased by 8 is divisible by 32, 36 and 40 (a) 1430 (b) 1400 (c) 1432 (d) 1425 View Answer Ques. The least number which when divided by 4, 6, 8, 12 and 16 leaves a remainder of 2 in each case is: (a) 20 (b) 43 (c) 50 (d) 59 View Answer Ques. cccs sheetsWebA natural number, when increased by 12, equals 160 times its reciprocal. Find the number. Solution: Given, a natural number increased by 12 equals to 160 times its reciprocal. We have to find the natural number. Let the natural number be x. So, x + 12 = 160(1/x) On rearranging, x² + 12x = 160. x² + 12x - 160 = 0. On factoring, x² + 20x - 8x ... cccs stepchangeWebA natural number, when increased by 12, becomes equal to 160 times its reciprocal. Find the number. Medium Solution Verified by Toppr Let the number be x. Then, x+12=160× x1 x 2+12x−160=0 (x+20)(x−8)=0 x=−20,8 Therefore, the required number is 8. Was this answer helpful? 0 0 Similar questions The sum of two consecutive natural numbers is 23. bustamante children hospital