WebA straight line passes through the point (2, –1, –1). It is parallel to the plane 4x + y + z + 2 =… A variable line is drawn through O, to cut two fixed straight lines L1 and L2 in A1 and A2,… The centre of the circle S = 0 lies on the line 2x - 2y + 9 = 0 and S = 0 cuts orthogonally the… Web16 dec. 2024 · To find: x^2 - y^2 = (x+y) (x-y) Statement 1. x+y = 2x. (It is possible that the brain will want us to substitute the value of (x+y) in the equation and come up with a …
CBSE Class 9 Answered - TopperLearning
Web4 jun. 2024 · If x = 2 + √5 , then x3 + 3x2 - 29x : Q4. If a 1 3 + b 1 3 + c 1 3 = 0, then (a + b + c)3 : Q5. If a, b, c are real numbers and a2 + b2 + c2 = 2 (a - b - c) - 3, then the value … WebIf x/y + y/x = -1, (x, y ≠ 0), the value of x 3 - y 3 is a. 1 b. -1 c. 0 d. 1/2 Solution: We know that x 3 - y 3 = (x - y) (x 2 + xy + y 2) …. (1) It is given that x/y + y/x = -1 By further simplification we can write it as (x 2 + y 2 )/ xy = -1 x 2 + y 2 = -xy By adding xy on both sides x 2 + y 2 + xy = -xy + xy x 2 + y 2 + xy = 0 …. (2) everything developments ltd
x2 + y2 + z2 = 2(x + z - 1) - Examveda
WebD. 1. x 2 + y 2 + z 2 = 2(x - y - z) - 3 x 2 + y 2 + z 2 = 2x - 2y - 2z - 3 (x 2-2x + 1) + (y 2 + 2y + 1) + (z 2 + 2z + 1) = 0 (x - 1) 2 + (y + 1) 2 + (z + 1) 2 = 0 x ... Web9 jul. 2024 · So substituting the values for the elementary symmetric polynomials that we found, we find that x, y and z are the three roots of: t3 −t2 − 1 2t − 1 6 = 0. or if you prefer: 6t3 − 6t2 −3t −1 = 0. In theory we could solve this using Cardano's method and directly evaluate x4 +y4 + z4, but the methods used above are somewhat easier. Web1 mei 2024 · Answer:104 , 1008 Step-by-step explanation: x+y=12 =>x=12 - y xy=20 =>y (12-y)=20 => - y^2 + 12y - 20 = 0 => y^2 - 12 +20 =0 => y^2 - 2y - 10y +20 =0 => (y - 2) (y - 10 ) = 20 therefore , y=2 or y=10 so , x=10 or x =2 2x + 2y =24 3x + 3y =36 x^2 + y^2 =2^2 + 10^2 =104 x^3 + y^3 = 2^3 + 10^3=1008 Advertisement Still have questions? Find more … browns head lighthouse maine