The solution of equation is: x=-7/2
Step-by-step explanation:
Given equation is:
[tex]5-\sqrt{2x+8}=4[/tex]
first of all, we have to simplify the equation
so,
Subtracting 5 from both sides
[tex]5-5-\sqrt{2x+8}=4-5\\-\sqrt{2x+8}=-1[/tex]
Dividing both sides by -1
[tex]\frac{-\sqrt{2x+8}}{-1}=\frac{-1}{-1}\\\sqrt{2x+8}=1\\[/tex]
Taking square on both sides
[tex](\sqrt{2x+8})^2=(1)^2[/tex]
[tex]2x+8=1[/tex]
Subtracting 8 from both sides
[tex]2x+8-8=1-8\\2x=-7[/tex]
dividing both sides by 2
[tex]\frac{2x}{2}=-\frac{7}{2}\\x=\frac{7}{2}[/tex]
the solution of equation is: x=-7/2
Keywords: Equations, Radicals
Learn more about equations at:
- brainly.com/question/4279146
- brainly.com/question/4354581
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