What is the answer to sqrt(a+2)+sqrt(3a+7)=1 ?

The answer to sqrt(a+2)+sqrt(3a+7)=1 is a=-2

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sqrt(a+2)+sqrt(3a+7)=1

a + 2 + 3 a + 7 = 1

a = - 2

Solution steps

a + 2 + 3 a + 7 = 1

Remove square roots

4 a^{2} + 24 a + 36 = 12 a + 28

Solve

4 a^{2} + 24 a + 36 = 12 a + 28 : a = - 1, a = - 2

a = - 1, a = - 2

Verify Solutions:

a = - 1

False

, a = - 2

True

The solution is

a = - 2

8 x + x = 48

x 2 x - 5 - x - 2 = 2

3 x - 2 - 4 = 0

(x^{2} - 1) (2 x - 1) = 0

4 x - 7 = 9

What is the answer to sqrt(a+2)+sqrt(3a+7)=1 ?
The answer to sqrt(a+2)+sqrt(3a+7)=1 is a=-2
Solve for a: sqrt(a+2)+sqrt(3a+7)=1
The solution is a=-2