Question

write the equations of the second degree in the reduced form.
5-11x² = -8x
4+3x= -x²+2
x (x + 2) = - 5
(2x-1) ² = 1

Answer 1

move all to one side, make other side zero, and I like x^2 term to be positive

5-11x^2=-8x
add -5+11x^2 to both sides
0=11x^2-8x-5


4+3x=-x^2+2
add x^2-2 to both sides
x^2+3x+4+2=0
x^2+3x+6=0


x(x+2)=-5
add 5 to both sides
x(x+2)+5=0
x^2+2x+5=0


(2x-1)^2=1
expand
(2x-1)(2x-1)=1
4x^2-2x-2x+1=1
minus 1 from both sides
4x^2-4x=0