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What are the solutions of the quadratic equation 0 = 4(x − 3)2 − 16?

User Sirmyself
by
7.7k points

1 Answer

2 votes

Answer:

x=1,5

Explanation:

0 = 4(x − 3)^2 − 16

add 16 to each side

16 = 4(x − 3)^2 − 16+16

16 = 4(x − 3)^2

divide by 4

16/4 = 4/4(x − 3)^2

4 = (x-3)^2

take the square root of each side

+- sqrt (4) = sqrt( (x-3)^2)

+- 2 = (x-3)

add 3 to each side

3+- 2 = x

3+2 = x and 3-2 = x

5=x and 1=x

User MatthewG
by
8.2k points

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