2x2-x-6 = (2x+3)(x-2)
2x2 + 7x + 3 = (2x + 1)(x + 3)If 2x2 + 7x + 3 = 0 then:(2x + 1)(x + 3) = 0⇒ (2x + 1) = 0 → x = -1/2or (x + 3) = 0 → x = - 3
2x2 + 5x - 3 (2x - 1)(x + 3)
Reading this as: 4x2-6=2x2 This implies that: -6=-2x2 3=x2 x=sqrt(3) and x=-sqrt(3) So x can equal plus or minus the square root of 3
2x2-3 = -6x-2 2x2+6x-3+2 = 0 2x2+6x-1 = 0 When factored with the help of the quadratic equation formula: (2x-0.3166247904)(x+3.1583123952) = 0 Therefore: x = 0.1583123952 and also x = -3.1583123952
If that's + 2x2, the answer is x(x + 3)(x - 1) x = 0, -3, 1 If that's - 2x2, the answer is x(x - 3)(x + 1) x = 0, 3, -1
2x2-x-6 = (2x+3)(x-2)
2x2 + 7x + 3 = (2x + 1)(x + 3)If 2x2 + 7x + 3 = 0 then:(2x + 1)(x + 3) = 0⇒ (2x + 1) = 0 → x = -1/2or (x + 3) = 0 → x = - 3
2x2 + 5x - 3 (2x - 1)(x + 3)
2x2 - 5x = 3 ∴ 2x2 - 5x - 3 = 0 ∴ 2x2 + x - 6x - 3 = 0 ∴ x(2x + 1) - 3(2x + 1) = 0 ∴ (x - 3)(2x + 1) = 0 ∴ x ∈ {-0.5, 3 }
2x2-x-3 = 0= 4 - x - 3 = 0= 1 - x = 0= 1 = xTherefore x = 1
2(3 - x)(3 + x)
2x2-7x+3 = 0 (2x-1)(x-3) = 0 x = 1/2 or x = 3
2x2 - 5x + 12 does not factor. 2x2 - 5x - 12 factors into (2x + 3)(x - 4) 2x2 + 5x - 12 factors into (2x - 3)(x + 4)
Reading this as: 4x2-6=2x2 This implies that: -6=-2x2 3=x2 x=sqrt(3) and x=-sqrt(3) So x can equal plus or minus the square root of 3
2x2-3 = -6x-2 2x2+6x-3+2 = 0 2x2+6x-1 = 0 When factored with the help of the quadratic equation formula: (2x-0.3166247904)(x+3.1583123952) = 0 Therefore: x = 0.1583123952 and also x = -3.1583123952
2x2+5x-3 = 0 (2x-1)(x+3) = 0 x = 1/2 or x -3