x2 + 12x - 64 = 0 ∴ (x + 16)(x - 4) = 0 ∴ x ∈ {4, -16}
64 + x2 = 196 Therefore, 196 - x2 = 64 x2 = 132 Therefore, x = sqrt(132). Rounded to three decimal places, this is equal to 11.489.
x2 + 5x + 3 = 9 x2 + 5x - 6 = 0 (x + 6)(x - 1) = 0 x = -6 or x = 1
x2-6x+9 = (x-3)(x-3) when factorised.
-(x - 9)(x + 2)
x2 + 12x - 64 = 0 ∴ (x + 16)(x - 4) = 0 ∴ x ∈ {4, -16}
x2+24x+144 = 9 x2+24x+144-9 = 0 x2+24x+135 = 0 (x+9)(x+15) = 0 x = -9 or x = -15
If [ x = -8 ], thenx2 - 4x + 9= (-8)2 - 4(-8) + 9= 64 + 32 + 9= 105
64 + x2 = 196 Therefore, 196 - x2 = 64 x2 = 132 Therefore, x = sqrt(132). Rounded to three decimal places, this is equal to 11.489.
x2 + 9 = 10x x2 - 10x + 9 = 0. (x - 9)(x - 1) = 0. Therefore, x = 1 or 9.
x3 + 4x2 + 16x + 64 =x2*(x + 4) + 16(x + 4) = (x + 4)*(x2 + 16) which has no further real factors.
x2 + 12x + 27 = (x + 9)(x + 3)
(x2 + 14 + 48 / (x + 8) = (x2 + 62) / (x + 8) =(x2 + 8x - 8x - 64 + 126) / (x + 8) = x - 1 + 126/(x+8)
(x+1)(x+9)
x2 + 5x + 3 = 9 x2 + 5x - 6 = 0 (x + 6)(x - 1) = 0 x = -6 or x = 1
x2-6x+9 = (x-3)(x-3) when factorised.
x2 + 7x + 9 = 3 ∴ x2 + 7x + 6 = 0 ∴ (x + 6)(x + 1) = 0 ∴ x ∈ {-6, -1}