-4x2 - 32x + x + 8 = 8x2 - 56x : simplify and group the various terms
-32x + 56x + x + 8 = 8x2 + 4x2
25x + 8 = 12x2 : Now present this as a standard quadratic equation.
12x2 - 25x - 8 = 0 : Solving for the roots of a quadratic equation gives :-
x = [25 ± √(252 + 4x12x8)] ÷ 2x12 = [25 ± √1009] ÷ 24 = [25 ± 31.765] ÷ 24
x = 56.765/24 = 2.365 and x = -6.765/24 = -0.282
x = 2.365 and -0.282
64
4x2 plus 3=11
4x2+49x+90 = (4x+9)(x+10) when factored
4(x^2 + 8x + 160)
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
64
4x2 plus 3=11
64
y=4x2+3x+8
4x^2 + 32x + 64 = 4(x^2 + 8x + 16) = 4(x + 4)^2 = 4(x + 4)(x + 4)
4x2+49x+90 = (4x+9)(x+10) when factored
There are four solutions to 9x4 plus 27x3 - 4x2 - 12x equals 0. One of the solutions is x = -3.
[ x3 - 4x2 + 7x ] / (x) = x2 - 4x + 7
4(x^2 + 8x + 160)
4x2 = -12x, divide both sides by 4x: 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
b. -4x2+20 = 4x2 = 4-20x2 = -16x = -4Note that -42 = -16 but (-4)2 in brackets = 16