Equation

Equation
2x2+bx82=0
has one root x1 = -8. Determine the coefficient b and the second root x2.

Correct answer:

b =  -26.25
x2 =  -5.13

Step-by-step explanation:

b=(2 8 8+82)/8=26.25
2x226.25x82=0 2x2+26.25x+82=0  a=2;b=26.25;c=82 D=b24ac=26.2524282=33.0625 D>0  x1,2=b±D2a=26.25±33.064 x1,2=6.5625±1.4375 x1=5.125 x2=8   Factored form of the equation:  2(x+5.125)(x+8)=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:

  • 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.
  • Quadratic equation
    Parabola_tangent Quadratic equation 7x2+bx+c=0 has roots x1 = 67 and x2 = -84. Calculate the coefficients b and c.
  • Quadratic equation
    parabola Determine the numbers b, c that the numbers x1 = -1 and x2 = 3 were roots of quadratic equation: -3x 2 + b x + c = 0
  • Equation
    function Eequation f(x) = 0 has roots x1 = 64, x2 = 100, x3 = 25, x4 = 49. How many roots have equation f(x2) = 0 ?
  • EQ2
    eq2 Solve quadratic equation: 2x²- 2(x-7)²+5x=0
  • Roots
    parabola Determine the quadratic equation absolute coefficient q, that the equation has a real double root and the root x calculate: 5x 2 +9x + q = 0
  • 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
  • Parabola 3
    parabola Find the equation of a parabola with its focus at (0,2) and its vertex at the origin. f: y=x2+bx+c
  • Quadratic equation
    parabola Solve quadratic equation: 2x2+28x-550=0
  • Pure quadratic equation
    kvadrat Solve pure quadratic equation -5x2 +10 = 0.
  • Eq2 equations
    eq2_fx For each of the following problems, determine the roots of the equation. Given the roots, sketch the graph and explain how your sketch matches the roots given and the form of the equation: g(x)=36x2-12x+5 h(x)=x2-4x+20 f(x)=4x2-24x+45 p(x)=9x2-36x+40
  • Coefficient
    gp Determine the coefficient of this sequence: 7.2; 2.4; 0.8
  • 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.
  • 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.
  • Square root 2
    parabola If the square root of 3m2 +22 and -x = 0, and x=7, what is m?
  • VCP equation
    combinatorics3 Solve the following equation with variations, combinations and permutations: 4 V(2,x)-3 C(2,x+ 1) - x P(2) = 0
  • Std-deviation
    standard-dev Calculate standard deviation for file: 63,65,68,69,69,72,75,76,77,79,79,80,82,83,84,88,90