Question

Solve: image.png




No Solution

Answer 1

I can’t see the image you mentioned. Please either re-upload the picture or paste the problem text here.

If you already got an answer of “No solution” and want to know why, these are the common reasons and quick checks you can run depending on the type of problem:

- Linear system (two or more linear equations): “No solution” means the equations are inconsistent (geometrically, parallel hyperplanes). Check whether the rows are proportional but right-hand sides aren’t (e.g. x + y = 1 and 2x + 2y = 3 → inconsistent).

- Single algebraic equation:
- Square roots / even roots: equations like sqrt(f(x)) = g(x) can have no solution if g(x) < 0 on all domain points or if g(x) never equals sqrt(f(x)) on the domain.
- Absolute value: |...| = negative number ⇒ no solution.
- Rational equation: simplification can introduce/exclude values. Check denominators for excluded points; sometimes no x satisfies numerators = 0 while denominators ≠ 0.
- Quadratic: discriminant b^2 − 4ac < 0 ⇒ no real solutions (but complex ones exist).

- Systems with constraints (integer solutions, positive reals, etc.): “No solution” can mean no solution satisfying the extra constraints even if real/complex solutions exist.

If you post the problem text or re-upload the image I’ll show exactly why there is no solution or find the solutions if there are any.