Web4 mrt. 2024 · Best answer Correct Answer - Option 3 : 5 Given: x + y + z = 19, x 2 + y 2 + z 2 = 133 and xz = y 2 , Formula used: (x + y + z) 2 = x 2 + y 2 + z 2 + 2 (xy + yz + zx) Calculation: (x + y + z) 2 = x 2 + y 2 + z 2 + 2 (xy + yz + zx) ⇒ (19) 2 = 133 + 2 (xy + yz + y 2) ⇒ 133 + 2 [y (x + y + z)] = 361 ⇒ 2y (19) = 361 - 133 ⇒ y = 6 x + y + z = 19 Web27 feb. 2024 · answered Feb 27, 2024 by tushark (30.0k points) selected Feb 27, 2024 by Pravask Best answer Correct Answer - Option 1 : 160 Given: x + y + z = 6 x 2 + y 2 + z 2 = 16 x 3 + y 3 + z 3 = 196 Formula used: (x + y + z) 2 = x 2 + y 2 + z 2 + 2xy + 2yz + 2zx x 3 + y 3 + z 3 - 3xyz = (x + y + z) (x 2 + y 2 + z 2 - xy - yz - zx) Calculation: We have,
If x+y=8 and xy=6, how much is x and y? - Quora
WebStep 1: Simplify the given equation using the square of binomials Given that x + y = 8 xy = 5 x^2 + y^2 = ? x + y = 8 square on both sides (x + y)^2 = 8^2 x^2 + y^2 + 2xy = 64 \because (a + b)^2 = a^2 + b^2 + 2ab x^2 + y^2 + 2 * 5 = 64 \because xy = 5 x^2 + y^2 + 10 = 64 x^2 + y^2 = 64 - 10 x^2 + y^2 = 54 Hence, x^2 + y^2 = 54 Web(xy + yz + zx) = 8 ∴ x 3 + y 3 + z 3 - 3xyz = (x + y + z) (x 2 + y 2 + z 2 - (xy + yz + zx) = 6 (20 - 8) = 6 x 12 = 72 38 Views Switch Flag Bookmark Advertisement 107. From a point P which is at a distance of 13 cm from centre O of a circle of radius 5 cm, in the same plane, a pair of tangents PQ and PR are drawn to the circle. klein electronics earpiece
If(x+y)=6 \: and \: xy=2 \: find \: the \: value \: of \: x3+y3 - Brainly
Web1 dec. 2024 · Answer: The value of x³ + y³ is 180. Step-by-step-explanation: We have given that, x + y = 6 xy = 2 We have to find the value of x³ + y³. Now, we know that, ( x + y )³ … Web26 jul. 2013 · Given x + y + z = 8 and xy + yz + zx = 20 Consider, x + y + z = 8 Squaring on both sides, we get (x + y + z)2 = 82 x2 + y2 + z2 +2 (xy + yz +zx) = 64 ⇒ x2 + y2 + z2 = 64 − 2 (xy + yz +zx) = 64 − 2 (20) = 64 − 40 = 24 ∴ x2 + y2 + z2 = 24 We know that x3 + y3 + z3 − 3xyz = (x + y + z) ( x2 + y2 + z2 − xy − yz − zx) = 8 (24 −20) = 8 (4) = 32 recycling pillows australia