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

The answer to 4x-4=sqrt(x+3) is x=(33+sqrt(257))/(32)

Solve for x: 4x-4=sqrt(x+3)

The solution is x=(33+sqrt(257))/(32)

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4 x - 4 = x + 3

x = \frac{33 + 257}{32}

Decimal Notation

x = 1.53222 \dots

Solution steps

4 x - 4 = x + 3

Square both sides:

16 x^{2} - 32 x + 16 = x + 3

16 x^{2} - 32 x + 16 = x + 3

Solve

16 x^{2} - 32 x + 16 = x + 3 : x = \frac{33 + 257}{32}, x = \frac{33 - 257}{32}

x = \frac{33 + 257}{32}, x = \frac{33 - 257}{32}

Verify Solutions:

x = \frac{33 + 257}{32}

True

, x = \frac{33 - 257}{32}

False

The solution is

x = \frac{33 + 257}{32}

32 = x^{\frac{5}{2}}

7 w - 12 = 5 w + 10

\frac{3 x}{x - 2} = 3

87 = 0.2 x^{\frac{3}{2}}

y = x^{\frac{1}{3}}, x

What is the answer to 4x-4=sqrt(x+3) ?
The answer to 4x-4=sqrt(x+3) is x=(33+sqrt(257))/(32)
Solve for x: 4x-4=sqrt(x+3)
The solution is x=(33+sqrt(257))/(32)