Solve: (x – 4)^2 – (x + 4)^2 = 48. The value of x is
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Answered by
2
Answer:
(x – 4)^2 – (x + 4)^2 = 48
x^2-8x+16 -(x^2+8x+16) = 48
x^2-8x+16 -x^2-8x-16 = 48
-16x = 48
x = -48/16
x = -3
hope it helps you
Answered by
1
Answer:
x = -3
Step-by-step explanation:
Using difference of squares a² - b² = (a - b)(a + b)...
(x - 4)² - (x + 4)² = 48
⇒ [ (x - 4) - (x + 4) ] [ (x - 4) + (x + 4) ] = 48
⇒ [ -8 ] [ 2x ] = 48
⇒ -16x = 48
⇒ x = -48/16
⇒ x = -3
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