4x2 - 2x - 3 = 0 (2x + 1)(2x - 3) = 0 x = -(1/2) or (3/2)
Quadratic equation formula
If you can't factor it easily, use the quadratic formula.
4x2 = -12x, divide both sides by 4x: x = -3
4x2+50x = 0 4x(x+12.5) = 0 x = 0 or x = -12.5
(4x - 32)(x - 2) so x = 2 or 8
First you need to solve for y. So write 4x2+y=16 so y=16-4x2 Now write f(x)=16-4x2
4x2 - 13 x + 3 = 0 (4x - 1)(x - 3) = 0 x = 3, 1/4
-4x2 + 5x + 6 = 0 Multiply through by -1: 4x2 - 5x - 6 = 0 (I prefer the leading coefficient to be >0) 4x2 - 8x + 3x - 6 = 0 4x(x - 2) + 3(x - 2) = 0 (x - 2)(4x + 3) = 0 So x - 2 = 0 or 4x + 3 = 0 ie x = 2 or x = -3/4
1/2 , 3/2
(4x+3)(x-5) = 0 x = -3/4 or x = 5
Fraction: 16/2 equation, 4x2