SOLUTION: Find all real solutions of the quadratic equation. (If there is no real solution, enter NO REAL SOLUTION.) w^2 = 7(w − 3)

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Find all real solutions of the quadratic equation. (If there is no real solution, enter NO REAL SOLUTION.) w^2 = 7(w − 3)       Log On


   

Question 652996: Find all real solutions of the quadratic equation. (If there is no real solution, enter NO REAL SOLUTION.)
w^2 = 7(w − 3)
Answer by solver91311(24713) About Me  (Show Source):
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Put your equation into standard form, namely

Then calculate the discriminant.

If , then there are no real solutions.

If , there is one real solution with a multiplicity of 2, .

If , then there are two distinct real zeros. Use the quadratic formula:



John

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