What is the answer to sqrt(7+6x)+sqrt(4x+5)=2 ?

The answer to sqrt(7+6x)+sqrt(4x+5)=2 is x=-1

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sqrt(7+6x)+sqrt(4x+5)=2

7 + 6 x + 4 x + 5 = 2

x = - 1

Solution steps

7 + 6 x + 4 x + 5 = 2

Remove square roots

4 x^{2} - 8 x + 4 = 64 x + 80

Solve

4 x^{2} - 8 x + 4 = 64 x + 80 : x = 19, x = - 1

x = 19, x = - 1

Verify Solutions:

x = 19

False

, x = - 1

True

The solution is

x = - 1

x - 14 x + 24 = 0

2 x - 4 - 2 = 4

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

8 - x = 2 + 2 x + 3

x^{2} - x = 6

What is the answer to sqrt(7+6x)+sqrt(4x+5)=2 ?
The answer to sqrt(7+6x)+sqrt(4x+5)=2 is x=-1
Solve for x: sqrt(7+6x)+sqrt(4x+5)=2
The solution is x=-1