Non linear eqs

Solve the system of non-linear equations:

3x2-3x-y=-2
-6x2-x-y=-7

Correct result:

x1 =  0.8647
y1 =  1.649
x2 =  0
y2 =  7

Solution:

3x23xy=2 6x2xy=7  y=6x2x+7  3x23x(6x2x+7)=2  3x23x(6x2x+7)=2 9x22x5=0  a=9;b=2;c=5 D=b24ac=2249(5)=184 D>0  x1,2=b±D2a=2±18418=2±24618 x1,2=0.11111111±0.753592220347 x1=0.864703331458 x2=0.642481109236   Factored form of the equation:  9(x0.864703331458)(x+0.642481109236)=0  x1=0.8647

Our quadratic equation calculator calculates it.

y1=6 x12x1+7=6 0.864720.8647+7=1.649
x2=0
y2=6 x22x2+7=7



We would be pleased if you find an error in the word problem, spelling mistakes, or inaccuracies and send it to us. 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 system of equations and looking for calculator system of linear equations?

Next similar math problems:

  • Discriminant
    Quadratic_equation_discriminant Determine the discriminant of the equation: ?
  • Calculation
    pocty How much is sum of square root of six and the square root of 225?
  • Product
    floring The product of two consecutive odd numbers is 8463. What are this numbers?
  • Linsys2
    linear_eq_3 Solve two equations with two unknowns: 400x+120y=147.2 350x+200y=144
  • Roots
    parabola Determine the quadratic equation absolute coefficient q, that the equation has a real double root and the root x calculate: ?
  • Find the 20
    eq222_1 Find the product and the sum of the roots of x2 + 3x - 9 = 0
  • Equation
    calculator_2 Equation ? has one root x1 = 8. Determine the coefficient b and the second root x2.
  • Quadratic equation
    kvadrat_2 Find the roots of the quadratic equation: 3x2-4x + (-4) = 0.
  • Evaluation of expressions
    eq222_10 If a2-3a+1=0, find (i)a2+1/a2 (ii) a3+1/a3
  • Solve equation
    hrusky_2 solve equation: ?
  • Algebra
    parabol_3 X+y=5, find xy (find the product of x and y if x+y = 5)
  • Equation 23
    reciprocal_1 Find value of unknown x in equation: x+3/x+1=5 (problem finding x)
  • Expressions 3
    parabola2_1 If k(x+6)= 4x2 + 20, what is k(10)=?
  • Expression with powers
    eq222_9 If x-1/x=5, find the value of x4+1/x4
  • Quadratic function
    parabola_2 Write the equation of the quadratic function which includes points A (-1, 10), B (2, 19), C (1,4)
  • Geometric seq
    eq222_1 Find the third member of geometric progression if a1 + a2 = 36 and a1 + a3 = 90. Calculate its quotient.
  • Completing square
    eq2_5 Solve the quadratic equation: m2=4m+20 using completing the square method