What is the answer to a-1-sqrt(7-a)=1 ?

The answer to a-1-sqrt(7-a)=1 is a=(3+sqrt(21))/2

Solve for a: a-1-sqrt(7-a)=1

The solution is a=(3+sqrt(21))/2

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a - 1 - 7 - a = 1

a = \frac{3 + 21}{2}

Decimal Notation

a = 3.79128 \dots

Solution steps

a - 1 - 7 - a = 1

Remove square roots

7 - a = a^{2} - 4 a + 4

Solve

7 - a = a^{2} - 4 a + 4 : a = \frac{3 + 21}{2}, a = \frac{3 - 21}{2}

a = \frac{3 + 21}{2}, a = \frac{3 - 21}{2}

Verify Solutions:

a = \frac{3 + 21}{2}

True

, a = \frac{3 - 21}{2}

False

The solution is

a = \frac{3 + 21}{2}

x = x + 4

x^{\frac{1}{2}} - 3 = 0

x^{\frac{1}{2}} - 3 = 5

2 x + 5 + 4 = 0

What is the answer to a-1-sqrt(7-a)=1 ?
The answer to a-1-sqrt(7-a)=1 is a=(3+sqrt(21))/2
Solve for a: a-1-sqrt(7-a)=1
The solution is a=(3+sqrt(21))/2