If 1 is a root of equation ay2+ay+3
WebIf 1 is a root of the equation a y 2 + a y + 3 = 0 and y 2 + y + b = 0 then find the value of ab. Advertisement Remove all ads Solution It is given that y = 1 is a root of the equation a y 2 + a y + 3 = 0 ∴ a × ( 1) 2 + a × 1 + 3 = 0 ⇒ a + a + 3 = 0 ⇒ 2 a + 3 = 0 ⇒ a = - 3 2 Also, y = 1 is a root of the equation y 2 + y + b = 0 ∴ ( 1) 2 + 1 + b = 0 WebRight Answer is: A SOLUTION The given equations are ay2+ay+3 =0 and y2+y+b= 0 Given, 1 is the roots of both the equations Therefore, y =1 will satisfy both these equations. Putting y =1 in ay2+ay+3 =0, we get a(1)2+ax1+3= 0 ∴ a+a+3= 0 ⇒ 2a+3= 0 ⇒ 2a= −3 ⇒ a= −3 2......(1) Putting y =1 in y2+y+b =0, we get (1)2+1+b =0 ∴ 1+1+b= 0 ⇒ …
If 1 is a root of equation ay2+ay+3
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WebSolution The given equations are ay2 + ay + 3 = 0 and y2 + y + b = 0 Given, 1 is the root of both the equations. ∴ y = 1 will satisfy both these equations. Putting y = 1 in ay2 + ay + 3 = 0, we get ∴ a × ( 1) 2 + a × 1 + 3 = 0 ⇒ a + a + 3 = 0 ⇒ 2 a + 3 = 0 ⇒ a = - 3 2 ........... (1) … WebSolve your math problems using our free math solver with step-by-step solutions. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more.
Web3 mei 2024 · Best answer If y = 1 is root of both the equation it will staify both the equations Putting y = 1 in first equation ay 2 + ay + 3 = 0 2a + 3 = 0 a = −3/2 a = − 3 / 2 Putting value of y in second equation 2 + b = 0 B = – 2 Now ab = − 3 2 = − 3 2 x – 2 ab … Web3 apr. 2024 · Hint: We are given that 1 is a root of a y 2 + a y + 3 = 0 and y 2 + y + b = 0. So, we put y = 1 in both the sides and solve for the value of a and for the value of b, after solving when we get the value of a and b, we do the product of a with b to find the value …
WebIf 1 is a root of the equations ay2+ay+3=0 and y2+y+b=0, then ab equals. Difficulty level: easy Viewed by: 5538 students Solutions ( 1) The given equations are ay2+ay+3=0 and y2+y+b=0 Given, 1 is the roots of both the equations Therefore, y=1 will satisfy both … WebIf 1 is a root of the equations ay2+ay+3=0 and y2+y+b=0 then ab equals 3 −72 6 -3 The given equations are ay2+ay+3=0 and y2+y+b=0Given 1 is the roots of bo
Web10 okt. 2024 · Tutorials and Articles to provide simple and easy learning on technical and non-technical subjects. These tutorials and articles have been created by industry experts and university professors with a high level of accuracy and …
Web16 jul. 2024 · Best answer It is given that y = 1 is a root of the equation ay2 + ay + 3 = 0 Also, y = 1 is a root of the equation y2 + y + b = 0 Hence, the value of ab is 3. ← Prev Question Next Question → Find MCQs & Mock Test JEE Main 2024 Test Series NEET … citation longitude approach speedWebIt is given that 1 is the root of the equations ay 2 + ay + 3 = 0 and y 2 + y + b = 0 . Therefore, y = 1 will satisfy both the equations. citation machine ad blockerWebAnswer (1 of 5): If 1 is a root of the equations ay²+ ay + 3 = 0 and y² + y + b = 0,then it satisfied the both equations. So,by putting y=1 in both equations,we get the value of a and b respectively. citation m2 engine tboWebQ.1 of chapter 5, Delhi-2012 - Last Year Paper - Mathematics book. If 1 is a root of the equations ay 2 + ay + 3 = 0 and y 2 + y + b = 0, then find the value of ab. diana royal honed marble tileWebIf y = 1 is a common root of the equations a y 2 + a y + 3 = 0 and y 2 + y + b = 0, then ab equals (a) 3 (b) −7/2 (c) 6 (d) −3 Solution Since, y = 1 is a root of the equations a y 2 + a y + 3 = 0. So, it satisfies the given equation. ∴ a 1 2 + a 1 + 3 = 0 ⇒ 2 a + 3 = 0 ⇒ a = - 3 … citation m2 layoutWebGiven, 1 is the root of both the equations. ∴ y = 1 will satisfy both these equations. Putting y = 1 in ay2 + ay + 3 = 0, we get. ∴`axx(1)^2+axx1+3=0` ⇒`a+a+3=0` ⇒`2a+3=0` ⇒`a=-3/2` .....(1) Putting y = 1 in y2 + y + b = 0, we get. ∴`(1)^2+1+b=0` ⇒`1+1+b=0` ⇒`b+2=0` … citation machine acs chemistryWebIf 1 is a root of the equations ay2 + ay + 3 = 0 and y2 + y + b = 0, then find the value of ab. Root of the Equations: The roots of the equations can be defined as the real... citation m2 bathroom