Question 236327: solve the quadratic equation by using the square root property.
4(a-5)^2=1
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! 4*(a-5)^2 = 1
divide both sides by 4 to get:
(a-5)^2 = 1/4
take square root of both sides to get
a-5 = +/- sqrt(1/4)
add 5 to both sides to get:
a = 5 +/- sqrt(1/4)
since sqrt(1/4) = (1/2), equation becomes:
a = 5 +/- (1/2)
this means:
a = 5.5
or:
a = 4.5
substitute in original equation to confirm this is good.
4*(a-5)^2 = 1
if a = 4.5, this becomes 4*(-.5)^2 = 1 which becomes 4*(.25) = 1 which becomes 1 = 1 which is good.
if a = 5.5, this becomes 4*(.5)^2 = 1 which becomes 4*(.25) = 1 which becomes 1 = 1 which is also good.
answer is confirmed.
answer is:
x = 4.5
or:
x = 5.5
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