Mathematics: Solve by completing the square w^2-10w+21=0

One way would be a circle. You could divide it into 3 and color one section. The second way would be 0.3...

Solve by completing the square w^2-10w+21=0

camhappy2005

08.01.2022

The solutions are w=7, w=3

Step-by-step explanation:

we have

w^2-10w+21=0

Group terms that contain the same variable and move the constant term to the right side

w^2-10w=-21

Complete the square

w^2-10w+5^2=-21+5^2

w^2-10w+25=-21+25

w^2-10w+25=4

Rewrite as perfect squares

(w-5)^2=4

take square root both sides

w-5=(+/-)2

w=5(+/-)2

w_1=5(+)2=7

w_2=5(-)2=3

therefore

The solutions are w=7, w=3

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