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Sagot :
Answer:
x = 4 + sqrt 5
x = 4 - sqrt 5
Step-by-step explanation:
(X-4)^2 = 5
X - 4 = + - sqrt 5
X = 4 + sqrt 5 and
X = 4 - sqrt 5
Answer:
Step-by-step explanation:
Take the square root of each side of the equation to set up the solution for x
[tex](x-4)^{2*\frac{1}{2} } =[/tex] ±[tex]\sqrt{5}[/tex]
Remove the perfect root factor x - 4 under the radical to solve for x.
x - 4 = ±[tex]\sqrt{5}[/tex]
The complete solution is the result of both the positive and negative portions of the solution.
First, use the positive value of the ± to find the first solution.
[tex]x-4=\sqrt{5}[/tex]
Add 4 to both sides of the equation.
[tex]x=\sqrt{5} +4[/tex]
Next, use the negative value of the ± to find the second solution.
[tex]x-4=-\sqrt{5}[/tex]
Add 4 to both sides of the equation.
[tex]x=-\sqrt{5} +4[/tex]
The complete solution is the result of both the positive and negative portions of the solution.
[tex]x=\sqrt{5} +4,-\sqrt{5} +4[/tex]
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