What is the answer to sqrt(15x+4)=4-sqrt(2x+3) ?

The answer to sqrt(15x+4)=4-sqrt(2x+3) is x= 11/169

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sqrt(15x+4)=4-sqrt(2x+3)

15 x + 4 = 4 - 2 x + 3

x = \frac{11}{169}

Decimal Notation

x = 0.06508 \dots

Solution steps

15 x + 4 = 4 - 2 x + 3

Remove square roots

169 x^{2} - 390 x + 225 = 128 x + 192

Solve

169 x^{2} - 390 x + 225 = 128 x + 192 : x = 3, x = \frac{11}{169}

x = 3, x = \frac{11}{169}

Verify Solutions:

x = 3

False

, x = \frac{11}{169}

True

The solution is

x = \frac{11}{169}

x + 7 = 2 x + 4

x^{2} + 6 x = 36 - 5 x^{2} + 6 x

x + 7 - 1 = x

z - 1 - z + z = 1

x - 1 = x - 1

What is the answer to sqrt(15x+4)=4-sqrt(2x+3) ?
The answer to sqrt(15x+4)=4-sqrt(2x+3) is x= 11/169
Solve for x: sqrt(15x+4)=4-sqrt(2x+3)
The solution is x= 11/169