SOLUTION: Directions only said SOlve:
(x^2 -2x)^2 -11(x^2 -2x) +24=0
Algebra.Com
Question 343922: Directions only said SOlve:
(x^2 -2x)^2 -11(x^2 -2x) +24=0
Found 2 solutions by Jk22, Fombitz:
Answer by Jk22(389) (Show Source): You can put this solution on YOUR website!
let z=x^2-2x, then z^2-11z+24=0, by Viete (z-3)(z-8)=0
z=3 implies x^2-2x-3=0 => (x-3)(x+1)=0, x=3 or x=-1
z=8 implies x^2-2x-8=0 => (x-4)(x+2)=0, x=4 or x=-2
verif : 3 : (9-6)^2-11*3+24=9-33+24=33-33=0
-1 : (1+2)^2-11*3+24=9-33+24=33-33=0
4 : (16-8)^2-11*8+24=64-88+24=88-88=0
-2 : (4+4)^2-11*8+24=64-88+24=88-88=0
ok.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Use a substitution,
Two solutions in :
Two solutions in :
.
.
.
.
.
Two solutions in :
.
.
.
.
.
.
Four solutions: (-2,-1,3,4)
RELATED QUESTIONS
x^2+2x-24=0 (answered by texttutoring)
Solve... (answered by Fombitz)
Solve (x + 6)2 = 2x +... (answered by macston)
Solve by completing the square:
x^2 + 2x - 24 =... (answered by oscargut)
please solve... (answered by Nate)
Solve by factoring:{{{x^2-24=... (answered by checkley71)
solve x^2 - 2x =24 by... (answered by richwmiller)
Solve x^2 - 2x = 24 by... (answered by fractalier)
Please help me to solve this problem x²+y²+2x-24=0 and y=2x+2 (answered by Fombitz)