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What are the values of x in the equation x2 - 6x + 9 = 25?
Solution:
Given, equation is x2 - 6x + 9 = 25
x2 - 6x + 9 - 25 = 0
x2 - 6x - 16 = 0
On simplification,
x2 - 8x + 2x - 16 = 0
x(x - 8) + 2(x - 8) = 0
(x + 2)(x - 8) = 0
Now, x + 2 = 0
⇒ x = -2
x - 8 = 0
⇒ x = 8
Therefore, the values of x are -2 and 8.
What are the values of x in the equation x2 - 6x + 9 = 25?
Summary:
The values of x in the equation x2 - 6x + 9 = 25 are -2 and 8.
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