What is the answer to sqrt(10y+14)=sqrt(7y+1)+2 ?

The answer to sqrt(10y+14)=sqrt(7y+1)+2 is y=5,y= 13/9

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sqrt(10y+14)=sqrt(7y+1)+2

10 y + 14 = 7 y + 1 + 2

y = 5, y = \frac{13}{9}

Decimal Notation

y = 5, y = 1.44444 \dots

Solution steps

10 y + 14 = 7 y + 1 + 2

Remove square roots

9 y^{2} + 54 y + 81 = 112 y + 16

Solve

9 y^{2} + 54 y + 81 = 112 y + 16 : y = 5, y = \frac{13}{9}

y = 5, y = \frac{13}{9}

Verify Solutions:

y = 5

True

, y = \frac{13}{9}

True

The solutions are

y = 5, y = \frac{13}{9}

2 = x - 4

y + 5 = 7

x^{\frac{4}{3}} = - 49

What is the answer to sqrt(10y+14)=sqrt(7y+1)+2 ?
The answer to sqrt(10y+14)=sqrt(7y+1)+2 is y=5,y= 13/9
Solve for y: sqrt(10y+14)=sqrt(7y+1)+2
The solution is y=5,y= 13/9