code: def test_gh_10370(self):
      # gh-10370 reported that passing both `args` and `jac` to `root` with
      # `method='krylov'` caused a failure. Ensure that this is fixed whether
      # the gradient is passed via `jac` or as a second output of `fun`.
      def fun(x, ignored):
          return [
              3 * x[0] - 0.25 * x[1] ** 2 + 10,
              0.1 * x[0] ** 2 + 5 * x[1] - 2,
          ]
  
      def grad(x, ignored):
          return [[3, 0.5 * x[1]], [0.2 * x[0], 5]]
  
      def fun_grad(x, ignored):
          return fun(x, ignored), grad(x, ignored)
  
      x0 = np.zeros(2)
  
      ref = root(fun, x0, args=(1,), method="krylov")
      message = "Method krylov does not use the jacobian"
      with assert_warns(RuntimeWarning, match=message):
          res1 = root(fun, x0, args=(1,), method="krylov", jac=grad)
      with assert_warns(RuntimeWarning, match=message):
          res2 = root(
              fun_grad, x0, args=(1,), method="krylov", jac=True
          )
  
      assert_equal(res1.x, ref.x)
      assert_equal(res2.x, ref.x)
      assert res1.success is res2.success is ref.success is True
  
file_path: scipy/scipy/optimize/tests/test__root.py
imports: from numpy.testing import assert_, assert_equal
  import pytest
  from pytest import raises, warns
  import numpy
  from scipy.optimize import root
label_desc: Use image node_id 5 for calling the TestRoot obj's underlying member method code with example usage: obj.test_gh_10370() and returns: list, list, fun,  grad