Factorise 4x^2 - 3x -1 by quadratic formula..factorise 4 x square minus 3 x minus 1 by quadratic formula ...
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given :-
4x² - 3x - 1
here a = 4, b = -3 and c = -1
D = b² - 4ac
D = (-3)² - 4(4)(-1)
= 9 - (-16)
= 9 + 16
= 25
discriminate (D) is positive, hence it has two real and distinct roots
using quadratic formula we get,
x = (-b ± √D)/2a
➡ x = [-(-3) ± √25)]/2(4)
➡ x = (3 ± 5)/8
➡ x = (3 + 5)/8, x = (3 - 5)/8
➡ x = 8/8, x = -2/8
➡ x = 1, x = -1/4
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