# Function G2lib::solveLinearQuadratic

- Defined in File G2lib.cc

## Function Documentation

int_type G2lib::solveLinearQuadratic(real_type A, real_type B, real_type C, real_type a, real_type b, real_type c, real_type *x, real_type *y)

  Solve the nonlinear system

  \[ A x + B y = C \]
  \[ a x^2 + b y^2 = c \]
  Parameters

    - A – [in] first parameter of the linear equation

    - B – [in] second parameter of the linear equation

    - C – [in] third parameter of the linear equation

    - a – [in] first parameter of the quadratic equation

    - b – [in] second parameter of the quadratic equation

    - c – [in] third parameter of the quadratic equation

    - x – [out] x-coordinates of the solutions

    - y – [out] y-coordinates of the solutions

  Returns

    the number of solution 0, 1 or 2