Any help you can give would be appreciated!
2007-05-21 04:03:18 · 7 answers · asked by Struggling Genius 1 in Science & Mathematics ➔ Mathematics
Starting with:
(x + 5)² = 3
Take the square root of both sides (remembering that square roots can be positive or negative):
x + 5 = ± √3
And then subtract 5 from both sides to get your answer:
x = -5 ± √3
2007-05-21 04:06:48 · answer #1 · answered by Jim Burnell 6 · 1⤊ 0⤋
First, multiply it out: (x+5)^2=x^2+10x+25
Substract three from both sides:
x^2 + 10x+22=0
Use the quadratic equation:
x=(-10+-sqrt(100-88))/2
x=-5 +-sqrt(12)/2= -5+-sqrt(3)
2007-05-21 11:09:01 · answer #2 · answered by Anonymous · 0⤊ 0⤋
The answers given by others is correct. Just be sure to do +/-... if the sqrt was given already, the answer would be positive but because you are taking the sqrt, you have to include both solutions.
x= -5 +/-sqrt(3)
2007-05-21 11:26:22 · answer #3 · answered by math_angel09 2 · 0⤊ 0⤋
(x+5)^2 = 3
x + 5 = +/- sqrt(3)
x = -5 +/- sqrt(3)
Another way, when you aren't working with squares:
(x^2 + 10x + 25) = 3
x^2 + 10x + 22 = 3
x = (-10 +/- sqrt(100-88))/2 =
(-10 +/- sqrt(12))/2 =
(-10 +/- 2 * sqrt(3))/2 =
-5 +/- sqrt(3)
2007-05-21 11:10:54 · answer #4 · answered by TychaBrahe 7 · 0⤊ 0⤋
(x+5)^2=3
=>x+5=root over 3
=>x=root over3 - 5
2007-05-21 11:07:12 · answer #5 · answered by sushmit_101 2 · 0⤊ 1⤋
x+5=sqrt(3)
x=-5+sqrt(3)
2007-05-21 14:20:23 · answer #6 · answered by sriram t 3 · 0⤊ 0⤋
x= -3.26795
2007-05-21 11:13:15 · answer #7 · answered by irshddy 1 · 0⤊ 0⤋