SOLUTION: please help me understand how to solve this equation. it is from a lecture not a homework problem, but I want to understand how he achieved the solution. the equation is 0.4=0.

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Question 1136032: please help me understand how to solve this equation. it is from a lecture not a homework problem, but I want to understand how he achieved the solution.
the equation is 0.4=0.8(vgsq-1.2)^2 solve for vgsq
the answer is vgsq=1.907
I was trying to get the same answer but I got 1.65 after I took the square root of vgsq. please help me understand this algebra step.
Found 3 solutions by math_helper, MathLover1, MathTherapy:
Answer by math_helper(2461)   (Show Source): You can put this solution on YOUR website!

0.4 = 0.8(vgsq-1.2)^2

Divide both sides by 0.8
0.5 = (vgsq-1.2)^2

Take sqrt of both sides
0.7071 = (vgsq - 1.2)

Add 1.2 to both sides:
0.7071 + 1.2 = vgsq

1.9071 = vgsq
Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!

solve for

.....switch sides

...both sides multiply by



...........take sqrt of both sides


=±+

solutions:

...round to three decimal places


or

...round to three decimal places



Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!
please help me understand how to solve this equation. it is from a lecture not a homework problem, but I want to understand how he achieved the solution.
the equation is 0.4=0.8(vgsq-1.2)^2 solve for vgsq
the answer is vgsq=1.907
I was trying to get the same answer but I got 1.65 after I took the square root of vgsq. please help me understand this algebra step.


 ----- Dividing each side by .8

 

 ------ Taking the square root of both sides

 

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