Question

Which strategy is the most appropriate strategy to solve x2−8x=242 ?



zero product property
completing the square
square root property

Answer 1

1

Question # 85369, Math / Algebra

Task: Which strategy is the most appropriate strategy to solve $x^{2} - 8x = 242$?

zero product property

completing the square

square root property

Answer:

completing the square

Solution:

$x^{2} - 8x = 242 \Rightarrow x^{2} - 8x + 16 = 242 + 16 \Rightarrow (x - 4)^{2} = 258 \Rightarrow x - 4 = \pm \sqrt{258} \Rightarrow x = 4 \pm \sqrt{258}$

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