Solve for x.
4(x-2)^ -2 = 16
(x-2) has an exponent of -2.
I got x = 5/2
2007-01-11 14:02:03 · 2 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Divide both sides by 4:
(x - 2)ˉ² = 4
Flip both sides to get rid of the negative exponent:
(x - 2)² = 1/4
Take the square root of both sides...REMEMBERING TO TAKE BOTH THE POS AND NEG ROOTS:
x - 2 = ± 1/2
Add 2 to both sides:
x = 2 ± 1/2
So x = 2 + 1/2 = 5/2 ... or also 2 - 1/2 = 3/2.
Check both:
4(5/2 - 2)ˉ² = 4(1/2)ˉ² = 4(2)² = 4(4) = 16....check!
4(3/2 - 2)ˉ² = 4(-1/2)ˉ² = 4(-2)² = 4(4) = 16....check!
2007-01-11 14:10:12 · answer #1 · answered by Jim Burnell 6 · 0⤊ 0⤋
4(x-2)^ -2 = 16
=4/4x^2=16
4=16*4x^2
4=64x^2
4/64=x^2
1/16=x^2
x= 1/4.. i got a different answer
2007-01-11 22:10:10 · answer #2 · answered by den c 1 · 0⤊ 0⤋