SOLUTION: Can you please help show me how to solve this quadratic equation by completing the square. w^2

SOLUTION: Can you please help show me how to solve this quadratic equation by completing the square. w^2 - 5w = 14 Thank you so much

Question 170891: Can you please help show me how to solve this quadratic equation by completing the square.
w^2 - 5w = 14
Thank you so much
Answer by jojo14344(1513) (Show Source): You can put this solution on YOUR website!

Complete the square by adding 6-1/4:
---> Remember to subtract 6-1/4 too so the value of the expression does not change.
----> convert to improper fractions so it's easier to deal with.
, ANSWER
You know what, it follows "vertex-form" for a quadratic function:
--->
We have, , & --> VERTEX POINTS
Let's see the graph below:
---> see vertex (2-1/2,-81/4)
.
Let's see the x-intercepts:
--->
where----->
By Quadratic Eqn:

See again the graph:
---> see the x-intercepts (-2,0) & (7,0).It's good!
Thank you,
Jojo

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