Equation 23

Find value of unknown x in equation:

x+3/x+1=5

(problem finding x)

Result

x1 =  3
x2 =  1

Solution:

x+3/x+1=5 x2+3+1x=5x  x2+3+1x=5x x24x+3=0  a=1;b=4;c=3 D=b24ac=42413=4 D>0  x1,2=b±D2a=4±42 x1,2=4±22 x1,2=2±1 x1=3 x2=1   Factored form of the equation:  (x3)(x1)=0x+3/x+1=5 \ \\ x^2+3+1x=5x \ \\ \ \\ x^2+3+1x=5x \ \\ x^2 -4x +3=0 \ \\ \ \\ a=1; b=-4; c=3 \ \\ D=b^2 - 4ac=4^2 - 4\cdot 1 \cdot 3=4 \ \\ D>0 \ \\ \ \\ x_{1,2}=\dfrac{ -b \pm \sqrt{ D } }{ 2a }=\dfrac{ 4 \pm \sqrt{ 4 } }{ 2 } \ \\ x_{1,2}=\dfrac{ 4 \pm 2 }{ 2 } \ \\ x_{1,2}=2 \pm 1 \ \\ x_{1}=3 \ \\ x_{2}=1 \ \\ \ \\ \text{ Factored form of the equation: } \ \\ (x -3) (x -1)=0

Checkout calculation with our calculator of quadratic equations.

x2=1x_{2}=1



Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!





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

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

Next similar math problems:

  1. Expression with powers
    eq222_9 If x-1/x=5, find the value of x4+1/x4
  2. Quadratic equation
    kvadrat_2 Find the roots of the quadratic equation: 3x2-4x + (-4) = 0.
  3. Evaluation of expressions
    eq222_10 If a2-3a+1=0, find (i)a2+1/a2 (ii) a3+1/a3
  4. Variable
    eq2_12 Find variable P: PP plus P x P plus P = 160
  5. Reciprocal value
    fx How do I calculate a number x that is 9 greater than its reciprocal (1/x)?
  6. Equation with abs value
    abs_graph How many solutions has the equation ? in the real numbers?
  7. Discriminant
    Quadratic_equation_discriminant Determine the discriminant of the equation: ?
  8. Solve 3
    eq2_4 Solve quadratic equation: (6n+1) (4n-1) = 3n2
  9. Square root 2
    parabola_2 If the square root of 3m2 +22 and -x = 0, and x=7, what is m?
  10. Equation
    calculator_2 Equation ? has one root x1 = 8. Determine the coefficient b and the second root x2.
  11. Roots
    parabola Determine the quadratic equation absolute coefficient q, that the equation has a real double root and the root x calculate: ?
  12. Solve equation
    hrusky_2 solve equation: ?
  13. Expressions 3
    parabola2_1 If k(x+6)= 4x2 + 20, what is k(10)=?
  14. Reciprocal equation 2
    parabola2 Solve this equation: x + 5/x - 6 = 4/11
  15. 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?
  16. Quadratic inequation
    eq2_8 If 5x + x² > 100, then x is not
  17. Theorem prove
    thales_1 We want to prove the sentence: If the natural number n is divisible by six, then n is divisible by three. From what assumption we started?