How many solutions are there for the equation \(x^2 + 16 = 8x\)?

A. 2
B. 1
C. 0

x 2 + 16 = 8 x x 2 − 8 x + 16 = 0 x 2 − 4 x − 4 x + 16 = 0 x ( x − 4 ) − 4 ( x − 4 ) = 0 ( x − 4 ) ( x − 4 ) = 0 ( x − 4 ) 2 = 0 ⇔ x − 4 = 0 ⇔ x = 4 A n s . O n e so l u t i o n

Answered by kate200468 | 2024-06-10

Every equation that has an ' x² ' in it has two solutions.
If it's a perfect square, then the solutions are equal, and they look like only 1.
Both solutions to this equation are [ x = 4 ] .

Answered by AL2006 | 2024-06-10

The equation x 2 + 16 = 8 x rearranges to x 2 − 8 x + 16 = 0 . The discriminant is zero, indicating one solution. Therefore, the answer is B. 1.
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Answered by kate200468 | 2025-01-05