Equation with abs value

How many solutions has the equation
(∣x∣+x)∣x−3∣=∣x+1∣ (|x| +x) |x-3| = |x+1|
in the real numbers?

Result

n =  4

Solution:

x1=−1 x2=0.219223593596 x3=2.2807764064 x4=3.63745860882x_1 = -1 \ \\ x_2 = 0.219223593596 \ \\ x_3 = 2.2807764064 \ \\ x_4 = 3.63745860882

The equation has infinity many solutions.

Calculated by our simple equation calculator.

Try another example


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?

Following knowledge from mathematics are needed to solve this word math problem:

Next similar math problems:

  1. Equation 23
    reciprocal_1 Find value of unknown x in equation: x+3/x+1=5 (problem finding x)
  2. Null points
    absolute value Calculate the roots of the equation: ?
  3. 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?
  4. 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?
  5. Roots
    parabola Determine the quadratic equation absolute coefficient q, that the equation has a real double root and the root x calculate: ?
  6. The product
    eq222 The product of a number plus that number and its inverse is two and one-half. What is the inverse of this number
  7. Quadratic equation
    kvadrat_2 Find the roots of the quadratic equation: 3x2-4x + (-4) = 0.
  8. Discriminant
    Quadratic_equation_discriminant Determine the discriminant of the equation: ?
  9. Solve 3
    eq2_4 Solve quadratic equation: (6n+1) (4n-1) = 3n2
  10. Equation
    calculator_2 Equation ? has one root x1 = 8. Determine the coefficient b and the second root x2.
  11. Evaluation of expressions
    eq222_10 If a2-3a+1=0, find (i)a2+1/a2 (ii) a3+1/a3
  12. Square root 2
    parabola_2 If the square root of 3m2 +22 and -x = 0, and x=7, what is m?
  13. Quadratic inequation
    eq2_8 If 5x + x² > 100, then x is not
  14. Quadratic equation
    Parabola_tangent Quadratic equation ? has roots x1 = -26 and x2 = -86. Calculate the coefficients b and c.
  15. Reciprocal equation 2
    parabola2 Solve this equation: x + 5/x - 6 = 4/11
  16. Variable
    eq2_12 Find variable P: PP plus P x P plus P = 160
  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?