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secondary 3 | A Maths
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How do i solve this equation? Pls help!
Sub x = 2, → expression = 0
By the Factor Theorem, (x - 2) is a factor.
Let x = 3
Sub x = 3, → expression = 0
By the Factor Theorem, (x - 3) is a factor.
Let x = 4
Sub x = 4, → expression = 0
By the Factor Theorem, (x - 4) is a factor.
(x - 3)(x -2)(x - 4) = (x² - 5x + 6)(x - 4)
= x³ - 9x² + 26x - 24
Now 2x⁴ - 19x³ + 61x² - 74x + 24 = 0
Factorise :
(x³ - 9x² + 26x - 24)(2x - 1) = 0
So x = 3 or x = 2 or x = 4 or 2x - 1 = 0
→ or 2x = 1
x = ½
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