Expression with powers

If x-1/x=5, find the value of x4+1/x4

Correct result:

v =  727

Solution:

x−1/x=5 x2−1=5x  x2−5x−1=0  a=1;b=−5;c=−1 D=b2−4ac=52−4⋅1⋅(−1)=29 D>0  x1,2=−b±D2a=5±292 x1,2=2.5±2.69258240357 x1=5.19258240357 x2=−0.192582403567   Factored form of the equation:  (x−5.19258240357)(x+0.192582403567)=0  v1=x14+1/x14=5.19264+1/5.19264=727 v2=x24+1/x24=(−0.1926)4+1/(−0.1926)4=727  v1=v2 v=v1=727

Our quadratic equation calculator calculates it.


Try another example


We would be pleased if you find an error in the word problem, spelling mistakes, 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?

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

Next similar math problems:

  • Equation 23
    reciprocal_1 Find value of unknown x in equation: x+3/x+1=5 (problem finding x)
  • Functions f,g
    linear_eq_4 Find g(1) if g(x) = 3x - x2 Find f(5) if f(x) = x + 1/2
  • Algebra
    parabol_3 X+y=5, find xy (find the product of x and y if x+y = 5)
  • Trapezoid 15
    trapezoid3 Area of trapezoid is 266. What value is x if bases b1 is 2x-3, b2 is 2x+1 and height h is x+4
  • Simple equation 6
    eq1_9 Solve equation with one variable: X/2+X/3+X/4=X+4
  • Expressions 3
    parabola2_1 If k(x+6)= 4x2 + 20, what is k(10)=?
  • Please
    lom_paprsek Please determine the solvability conditions of the equation, solve the equation and perform the test: x divided by x squared minus 2x plus1 the whole minus x + 3 divided by x squared minus 1 this is equal to 0: x/(x2-2x+1) - (x+3)/( x2-1) = 0
  • Exponential equation
    exp_8 Solve for x: (4^x):0,5=2/64.
  • Quadratic function
    eq2_graph It is given a quadratic function y = -4x2+5x+c with unknown coefficient c. Determine the smallest integer c for which the graph of f intersects the x-axis at two different points.
  • Trapezium
    lichobeznik_mo_z8_2 The lengths of parallel sides of a trapezium are (2x+3) and (x+8), and the distance between them is (x+4). if the area of the trapezium is 590, find the value of x.
  • Faces diagonals
    cuboid_1 If a cuboid's diagonals are x, y, and z (wall diagonals or three faces), then find the cuboid volume. Solve for x=1.3, y=1, z=1.2
  • Find the 2
    square_4 Find the term independent of x in the expansion of (4x3+1/2x)8
  • Domains of functions
    graph_quadratic F(x)=x2-7x and g(x)=5-x2 Domain of (fg)(x) is. .. . . Domain of (f/g)(x). ..
  • Equation 25
    eq1_2 Solve following simple equation: 3/4(x+5)=1/2(x+9)
  • Eq2 2
    kardan3rd Solve following equation with quadratic members and rational function: (x2+1)/(x-4) + (x2-1)/(x+3) = 23
  • Evaluate 5
    parabola2 Evaluate expression x2−7x+12x−4 when x=−1
  • Sphere equation
    sphere2 Obtain the equation of sphere its centre on the line 3x+2z=0=4x-5y and passes through the points (0,-2,-4) and (2,-1,1).