Quadratic equation

Determine the numbers b, c that the numbers x1 = -1 and x2 = 3 were roots of quadratic equation:

3x2+bx+c=0


Correct answer:

b =  6
c =  9

Step-by-step explanation:

a=3 b=ax1ax2=6
c=ax1x2=9 3x2+6x+9=0



Did you find an error or inaccuracy? Feel free to write us. Thank you!



avatar




Tips to related online calculators

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

Related math problems and questions:

  • Equation
    function Eequation f(x) = 0 has roots x1 = 64, x2 = 100, x3 = 25, x4 = 49. How many roots have equation f(x2) = 0 ?
  • Roots count
    photomath Substitute the numbers/0,1,2,3/into the equation as x: (x - 1) (x - 3) (x + 1) = 0 Which of them is its solution? Is there another number that solves this equation?
  • Coordinates
    geodet Determine the coordinates of the vertices and the content of the parallelogram, the two sides of which lie on the lines 8x + 3y + 1 = 0, 2x + y-1 = 0 and the diagonal on the line 3x + 2y + 3 = 0
  • Roots and coefficient
    parabola In the equation 2x ^ 2 + bx-9 = 0 is one root x1 = -3/2. Determine the second root and the coefficient b.
  • Equation
    calculator Equation -2x2+bx -82 =0 has one root x1 = -8. Determine the coefficient b and the second root x2.
  • 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
  • Find the 20
    eq222 Find the product and the sum of the roots of x2 + 3x - 9 = 0
  • Quadratic equation
    kvadrat Find the roots of the quadratic equation: 3x2-4x + (-4) = 0.
  • What is 10
    paralleogram_axes What is this The area of a parallelogram that has vertices with the coordinates (0, 0), (4, 0),(5, 3), and (1, 3)?
  • Sphere from tree points
    sphere2 Equation of sphere with three point (a,0,0), (0, a,0), (0,0, a) and center lies on plane x+y+z=a
  • Intersections 3
    intersect_circles Find the intersections of the circles x2 + y2 + 6 x - 10 y + 9 = 0 and x2 + y2 + 18 x + 4 y + 21 = 0
  • Sorting ASC
    compare Which group of decimals is in order from least to greatest? A) 1.04, 0.39, 0.8, 2.1, 0.09 B) 2.1, 1.04, 0.39, 0.8, 0.09 C) 0.09, 0.39, 0.8, 1.04, 2.1 D) 0.09, 0.39, 0.8, 2.1, 1.04
  • Vector equation
    collinear2 Let’s v = (1, 2, 1), u = (0, -1, 3) and w = (1, 0, 7) . Solve the vector equation c1 v + c2 u + c3 w = 0 for variables c1 c2, c3 and decide weather v, u and w are linear dependent or independent
  • Probability of intersection
    venn_three Three students have a probability of 0.7,0.5 and 0.4 to graduated from university respectively. What is the probability that at least one of them will be graduated?
  • Solve 2
    numbers2 Solve integer equation: a +b+c =30 a, b, c = can be odd natural number from this set (1,3,5,7,9,11,13,15)
  • Subtract 4
    plusminus Subtract the following decimals. a. 0.98 - 0.053 b. 0.67 - 0.4 c. 0.3 - 0.002 d. 3.2 - .789 e. 6.53 - 4.298 f. 6 - 4.32 g. 7 - 3.574 h. 4.83 - 1.8 i. 3.7 - 1.8 j. 16.17 - 11.632
  • Phone numbers
    old_phone How many 7-digit telephone numbers can be compiled from the digits 0,1,2,..,8,9 that no digit is repeated?