sqrt (4a + 29) = 2 sqrt (a) + 5? solve the equations.

1 Answer
shr
Apr 18, 2017

a = 1/25

Explanation:

sqrt(4a+29) = 2sqrt(a) + 5

Restrictions:
1. 4a + 29 >= 0 or a >= -29/4
2. a >= 0

Combining the two restrictions for common segments, you get a>=0

(sqrt(4a+29))^2 = (2sqrt(a) + 5)^2
4a+29 = 4a + 20sqrt(a) + 25
20sqrt(a)= 4
sqrt(a)=1/5
(sqrt(a))^2=(1/5)^2
:.a = 1/25
This solution satisfies the restriction, thus is valid.

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