What is the answer to sqrt(a-4)+1=sqrt(2a-7) ?

The answer to sqrt(a-4)+1=sqrt(2a-7) is a=8,a=4

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sqrt(a-4)+1=sqrt(2a-7)

a - 4 + 1 = 2 a - 7

a = 8, a = 4

Solution steps

a - 4 + 1 = 2 a - 7

Remove square roots

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

Solve

4 a - 16 = a^{2} - 8 a + 16 : a = 8, a = 4

a = 8, a = 4

Verify Solutions:

a = 8

True

, a = 4

True

The solutions are

a = 8, a = 4

3 x + 1 = 1 + 2 x - 1

1 - 3 x - 5 - 4 - x = 0

3 2 x - 4 + 6 = 3

y^{\frac{1}{2}} - 9 y^{\frac{1}{4}} + 20 = 0

What is the answer to sqrt(a-4)+1=sqrt(2a-7) ?
The answer to sqrt(a-4)+1=sqrt(2a-7) is a=8,a=4
Solve for a: sqrt(a-4)+1=sqrt(2a-7)
The solution is a=8,a=4