Solving Using the Square Root Property
Solve by applying the Square Root Property. This equation demonstrates the outcome when isolating the quadratic term produces a negative constant on the other side.
Step 1 — Isolate the quadratic term. Subtract from both sides:
Step 2 — Apply the Square Root Property:
Since is not a real number — no real number squared can yield a negative result — the equation has no real solution.
The Square Root Property requires in . When isolating the quadratic term produces a negative value for (here, ), the square root of that negative number does not exist among the real numbers, and the solving process terminates immediately with no real solution.
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Solving Using the Square Root Property
Solving Using the Square Root Property
Solving Using the Square Root Property
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