slove x^_5x+4=0 by factorization
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Factor {x}^{2}-5x+4x2−5x+4.
Ask: Which two numbers add up to -5−5 and multiply to 44?
-4−4 and -1−1
Rewrite the expression using the above.
(x-4)(x-1)(x−4)(x−1)
(x−4)(x−1)=0
Solve for x
Ask: When will (x-4)(x-1)(x−4)(x−1) equal zero?
When x-4=0x−4=0 or x-1=0x−1=0
Solve each of the 2 equations above.
x=4,1
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