Another method to solve x^2 + 3x – 4 = 0 is by factorization.
x^2 + 3x – 4 = 0
=> x^2 + 4x - x - 4 = 0
=> x( x + 4) - 1(x + 4) = 0
=> (x - 1)(x + 4) = 0
=> x = 1 and x = -4
The solution of the equation is x = 1 and x = -4
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