Evaluation of expressions

If a2-3a+1=0, find

(i)a2+1/a2
(ii) a3+1/a3

Correct result:

x1 =  7
x2 =  7
y1 =  18
y2 =  18

Solution:

a23a+1=0  a23a+1=0 a23a+1=0  p=1;q=3;r=1 D=q24pr=32411=5 D>0  a1,2=q±D2p=3±52 a1,2=1.5±1.11803398875 a1=2.61803398875 a2=0.38196601125   Factored form of the equation:  (a2.61803398875)(a0.38196601125)=0 x1=a12+1/a12=2.6182+1/2.6182=7

Our quadratic equation calculator calculates it.

x2=a22+1/a22=0.3822+1/0.3822=7
y1=a13+1/a13=2.6183+1/2.6183=18
y2=a23+1/a23=0.3823+1/0.3823=18



We would be pleased if you find an error in the word problem or inaccuracies and send it to us. Thank you!



Showing 0 comments:
avatar




Tips to related online calculators
Looking for help with calculating roots of a quadratic equation?
Do you have a linear equation or system of equations and looking for its solution? Or do you have quadratic equation?

You need to know the following knowledge to solve this word math problem:

Related math problems and questions:

  • Expressions
    vyraz Find out value of expressions if a = -1, b =2: x=b - 2a - ab y=a3 - b2 - 2ab z=a2 b3 - a3 b2 w=a + b + a3 - b2
  • Sphere from tree points
    sphere2_1 Equation of sphere with three point (a,0,0), (0, a,0), (0,0, a) and center lies on plane x+y+z=a
  • Intersect and conjuction
    venn_intersect Let U={1,2,3,4,5,6} A={1,3,5} B={2,4,6} C={3,6} Find the following. 1. )AUB 2. )A'UB'
  • Inverse matrix
    inverse_1 Find out inverse by Gauss elimination or by reduction method. A=[2/3. 1 -3. 1/3]
  • On a line
    linearna On a line p : 3 x - 4 y - 3 = 0, determine the point C equidistant from points A[4, 4] and B[7, 1].
  • Vectors abs sum diff
    vectors_sum0 The vectors a = (4,2), b = (- 2,1) are given. Calculate: a) |a+b|, b) |a|+|b|, c) |a-b|, d) |a|-|b|.
  • Vector perpendicular
    3dperpendicular Find the vector a = (2, y, z) so that a⊥ b and a ⊥ c where b = (-1, 4, 2) and c = (3, -3, -1)
  • Expression
    numbers If A=2 B=3 evaluate expression A(B+A) and multiply it by A
  • Find the 13
    circle_inside_rhombus Find the equation of the circle inscribed in the rhombus ABCD where A[1, -2], B[8, -3] and C[9, 4].
  • Expressions
    equation Expression (3a-7).(3a+7) is identical with: ?
  • Perpendicular projection
    lines Determine the distance of a point B[1, -3] from the perpendicular projection of a point A[3, -2] on a straight line 2 x + y + 1 = 0.
  • Function 3
    parabola2 Function f(x)=a(x-r)(x-s) the graph of the function has x- intercept at (-4, 0) and (2, 0) and passes through the point (-2,-8). Find constant a, r, s.
  • In a
    triangles_1 In a triangle, the aspect ratio a: c is 3: 2 and a: b is 5: 4. The perimeter of the triangle is 74cm. Calculate the lengths of the individual sides.
  • Calculate 6
    distance_point_line Calculate the distance of a point A[0, 2] from a line passing through points B[9, 5] and C[1, -1].
  • On line
    primka On line p: x = 4 + t, y = 3 + 2t, t is R, find point C, which has the same distance from points A [1,2] and B [-1,0].
  • Calculate 7
    trapezium3 Calculate the height of the trapezoid ABCD, where coordinates of vertices are: A[2, 1], B[8, 5], C[5, 5] and D[2, 3]
  • Hello adding
    adding_1 Fill letters instead of digits so the indicated sum (equal letters represent equal digits). What number is hidden under the letter J? A A H A H O A H O J -------------------------- 4 3 2 1