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Sonja [21]
3 years ago
15

How to solve by factoring 16x^=121

Mathematics
1 answer:
VMariaS [17]3 years ago
5 0
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Equation Given :
-------------------------------------------------------
16x² = 121

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Take away 121 from both sides:
-------------------------------------------------------
16x² - 121 = 0

-------------------------------------------------------
Make each term a perfect square
--------------------------------------------------------
(4x)² - (11)² = 0

--------------------------------------------------------
Apply algebraic rule : a² - b² = (a + b)(a - b)
--------------------------------------------------------
(4x + 11) (4x - 11) = 0

-------------------------------------------------------
Apply zero product property :
-------------------------------------------------------
4x + 11 = 0 or 4x - 11 = 0

--------------------------------------------------------
Solve for x :
--------------------------------------------------------
4x = - 11 or 4x = 11
x = -11/4 or x =11/4

--------------------------------------------------------------------------
Answer: x = -11/4 or x = 11/4
--------------------------------------------------------------------------
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