What is the answer to 5x-2=sqrt(x+9) ?

The answer to 5x-2=sqrt(x+9) is x=(21+sqrt(941))/(50)

Solve for x: 5x-2=sqrt(x+9)

The solution is x=(21+sqrt(941))/(50)

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5 x - 2 = x + 9

x = \frac{21 + 941}{50}

Decimal Notation

x = 1.03351 \dots

Solution steps

5 x - 2 = x + 9

Square both sides:

25 x^{2} - 20 x + 4 = x + 9

25 x^{2} - 20 x + 4 = x + 9

Solve

25 x^{2} - 20 x + 4 = x + 9 : x = \frac{21 + 941}{50}, x = \frac{21 - 941}{50}

x = \frac{21 + 941}{50}, x = \frac{21 - 941}{50}

Verify Solutions:

x = \frac{21 + 941}{50}

True

, x = \frac{21 - 941}{50}

False

The solution is

x = \frac{21 + 941}{50}

3 = 12 x - 36 \cdot x^{2} + 9

x - 4 x - 20 = 20

x^{3} = 80

\frac{2 x}{7} = 4

What is the answer to 5x-2=sqrt(x+9) ?
The answer to 5x-2=sqrt(x+9) is x=(21+sqrt(941))/(50)
Solve for x: 5x-2=sqrt(x+9)
The solution is x=(21+sqrt(941))/(50)