Quadratic equation

Quadratic equation
3x2+bx+c=03x2+bx+c=0



has roots x1 = -26 and x2 = -86. Calculate the coefficients b and c.

Correct result:

b =  336
c =  6708

Solution:

b=3(26+86)=336b = 3 \cdot (26 +86) = 336
c=3(26)(86)=6708  3x2+336x+6708=0 c = 3 \cdot (-26) \cdot (-86) = 6708 \ \\ \ \\ 3x^2 +336x +6708=0 \ \\



We would be very happy if you find an error in the example, spelling mistakes, or inaccuracies, and please send it to us. We 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:

Next similar math problems:

  • Roots
    parabola Determine the quadratic equation absolute coefficient q, that the equation has a real double root and the root x calculate: ?
  • Equation
    calculator_2 Equation ? has one root x1 = 8. Determine the coefficient b and the second root x2.
  • Square root 2
    parabola_2 If the square root of 3m2 +22 and -x = 0, and x=7, what is m?
  • Quadratic equation
    kvadrat_2 Find the roots of the quadratic equation: 3x2-4x + (-4) = 0.
  • Equation with abs value
    abs_graph How many solutions has the equation ? in the real numbers?
  • 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?
  • 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?
  • Solve 3
    eq2_4 Solve quadratic equation: (6n+1) (4n-1) = 3n2
  • Discriminant
    Quadratic_equation_discriminant Determine the discriminant of the equation: ?
  • Variable
    eq2_12 Find variable P: PP plus P x P plus P = 160
  • Reciprocal equation 2
    parabola2 Solve this equation: x + 5/x - 6 = 4/11
  • Evaluation of expressions
    eq222_10 If a2-3a+1=0, find (i)a2+1/a2 (ii) a3+1/a3
  • 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
  • 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.
  • Quadratic inequation
    eq2_8 If 5x + x² > 100, then x is not
  • Variation equation
    fun2_4 Solve combinatorics equation: V(2, x+8)=72
  • Equation 23
    reciprocal_1 Find value of unknown x in equation: x+3/x+1=5 (problem finding x)