2007-12-22 05:03:05 · 7 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Hi,
For this question, we first need to take the square root of both sides of the given equation. However, once we do this, we need to remember that the right hand side of the equation will have a + / - of the square root of 36 because when two negative and two positive numbers are multiplied by themselves, we will get a positive number as a result.
Therefore, we have:
x - 4 = 6
x = 10
AND....
x - 4 = -6
x = -2
Therefore, we get:
FINAL ANSWER:
x = 10
x = -2
I hope that helps you out! Please let me know if you have any other questions!
Sincerely,
Andrew
2007-12-22 05:15:33 · answer #1 · answered by The VC 06 7 · 0⤊ 2⤋
Dear Mr. Raheem P.
In solving your equation of (x - 4)^2 = 36, we first recognize that we have an quadratic equation.
( x - 4)^2 = 36
( x^2 - 8x + 16) = 36
x^2 - 8x + 16 - 36 = 0
x^2 - 8x - 20 = 0
( x + 2 ) ( x - 10 ) = 0
x + 2 = 0 or x - 10 =0
x = -2 x = 10
The solution set is { x : -2, 10}.
2007-12-22 14:48:07 · answer #2 · answered by calvaliear 5 · 1⤊ 0⤋
(x-4)² = 36
taking root on both sides we get
x-4 = ± 6
x - 4 = 6
and x - 4 = -6
x -4 = 6
therefore x = 6 + 4 = 10
x - 4 = -6
therefore x = -6 +4 = -2
x = -2 or 10
~~~
2007-12-22 13:08:23 · answer #3 · answered by A Little Sarcasm Helps 5 · 2⤊ 1⤋
x-4 = +/- 6
x = 4+6 = 10 or 4-6 = -2
2007-12-22 13:08:25 · answer #4 · answered by norman 7 · 1⤊ 2⤋
x - 4 = sq.rt of 36
x - 4 = 6
x= 10
2007-12-22 13:31:50 · answer #5 · answered by lp342 4 · 0⤊ 0⤋
(x - 4) = ± 6
x = 10, x = - 2
2007-12-22 15:50:01 · answer #6 · answered by Como 7 · 2⤊ 0⤋
x= 10 or -2
Cheers
2007-12-22 13:15:15 · answer #7 · answered by rutgersgroup 4 · 0⤊ 2⤋