Evaluation of expressions

If a2-3a+1=0, find

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

Result

x1 =  7
x2 =  7
y1 =  18
y2 =  18

Solution:

Solution in text x1 =

Checkout calculation with our calculator of quadratic equations.

Solution in text x2 =
Solution in text y1 =
Solution in text y2 =







Leave us a comment of example and its solution (i.e. if it is still somewhat unclear...):

Showing 0 comments:
1st comment
Be the first to comment!
avatar




To solve this example are needed these knowledge from mathematics:

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?

Next similar examples:

  1. Expressions 3
    parabola2_1 If k(x+6)= 4x2 + 20, what is k(10)=?
  2. Algebra
    parabol_3 X+y=5, find xy (find the product of x and y if x+y = 5)
  3. Quadratic equation
    kvadrat_2 Find the roots of the quadratic equation: 3x2-4x + (-4) = 0.
  4. Square root 2
    parabola_2 If the square root of 3m2 +22 and -x = 0, and x=7, what is m?
  5. Solve equation
    hrusky_2 solve equation: ?
  6. Crystal water
    laboratory The chemist wanted to check the content of water of crystallization of chromic potassium alum K2SO4 * Cr2 (SO4) 3 * 24 H2O, which was a long time in the laboratory. From 96.8 g of K2SO4 * Cr2 (SO4) 3 * 24 H2O prepared 979 cm3 solution of base. S
  7. Discriminant
    Quadratic_equation_discriminant Determine the discriminant of the equation: ?
  8. Roots
    parabola Determine the quadratic equation absolute coefficient q, that the equation has a real double root and the root x calculate: ?
  9. Equation
    calculator_2 Equation ? has one root x1 = 8. Determine the coefficient b and the second root x2.
  10. Cinema 4
    cinema_2 In cinema are 1656 seats and in the last row are 105 seats , in each next row 3 seats less. How many are the total rows in cinema?
  11. Reciprocal equation 2
    parabola2 Solve this equation: x + 5/x - 6 = 4/11
  12. Variation equation
    fun2_4 Solve combinatorics equation: V(2, x+8)=72
  13. Equation with abs value
    abs_graph How many solutions has the equation ? in the real numbers?
  14. Tubes
    pipes_1 Iron tubes in the warehouse are stored in layers so that each tube top layer fit into the gaps of the lower layer. How many layers are needed to deposit 100 tubes if top layer has 9 tubes? How many tubes are in bottom layer of tubes?
  15. Quadratic inequation
    eq2_8 If 5x + x² > 100, then x is not
  16. Quadratic equation
    Parabola_tangent Quadratic equation ? has roots x1 = 80 and x2 = 78. Calculate the coefficients b and c.
  17. Theorem prove
    thales_1 We want to prove the sentense: If the natural number n is divisible by six, then n is divisible by three. From what assumption we started?