What is the answer to 4a+4(sqrt((a+1)(a)))=1 ?

The answer to 4a+4(sqrt((a+1)(a)))=1 is a= 1/24

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4a+4(sqrt((a+1)(a)))=1

4 a + 4 ((a + 1) (a)) = 1

a = \frac{1}{24}

Decimal Notation

a = 0.04166 \dots

Solution steps

4 a + 4 ((a + 1) (a)) = 1

Remove square roots

16 a^{2} + 16 a = 1 - 8 a + 16 a^{2}

Solve

16 a^{2} + 16 a = 1 - 8 a + 16 a^{2} : a = \frac{1}{24}

a = \frac{1}{24}

Verify Solutions:

a = \frac{1}{24}

True

The solution is

a = \frac{1}{24}

x - 1 = 4

3 = x + 1

2 x + 5 = x - 10

(6 x + 4)^{\frac{3}{2}} + 8 = 520

x + 9 = 8

What is the answer to 4a+4(sqrt((a+1)(a)))=1 ?
The answer to 4a+4(sqrt((a+1)(a)))=1 is a= 1/24
Solve for a: 4a+4(sqrt((a+1)(a)))=1
The solution is a= 1/24