4x**2-3x-5
quadratic = (-b+sqrt(b**2-4ac))/2a
quadratic = (-b-sqrt(b**2-4ac))/2a
b**2-4ac>0 --> 2 roots
b**2-4ac=0 --> 1 root
b**2-4ac<0 --> 0 roots
(-3)**2-4(4*-5)
9+80=89
2 roots = (6+89**0.5)/8, (6-89**0.5)/8
Chat with our AI personalities
No integer roots. Quadratic formula gives 1.55 and -0.81 to the nearest hundredth.
(x3 + 4x2 - 3x - 12)/(x2 - 3) = x + 4(multiply x2 - 3 by x, and subtract the product from the dividend)1. x(x2 - 3) = x3 - 3x = x3 + 0x2 - 3x2. (x3 + 4x2 - 3x - 12) - (x3 + 0x2 - 3x) = x3 + 4x2 - 3x - 12 - x3 + 3x = 4x2 - 12(multiply x2 - 3 by 4, and subtract the product from 4x2 - 12)1. 4x(x - 3) = 4x2 - 12 = 4x2 - 122. (4x2 - 12) - (4x2 - 12) = 4x2 - 12 - 4x2 + 12 = 0(remainder)
It is difficult to tell because there is no sign (+ or -) before the 5. +5 gives complex roots and assuming that someone who asked this question has not yet come across complex numbers, I assume the polynomial is x2 -3x - 5 The roots of this equation are: -1.1926 and 4.1926 (to 4 dp)
x2-5-4x2+3x = 0 -3x2+3x-5 = 0 or as 3x2-3x+5 = 0
4