What is the answer to sqrt(4x+1)=40 ?

The answer to sqrt(4x+1)=40 is x= 1599/4

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sqrt(4x+1)=40

4 x + 1 = 40

x = \frac{1599}{4}

Decimal Notation

x = 399.75

Solution steps

4 x + 1 = 40

Square both sides:

4 x + 1 = 1600

4 x + 1 = 1600

Solve

4 x + 1 = 1600 : x = \frac{1599}{4}

x = \frac{1599}{4}

Verify Solutions:

x = \frac{1599}{4}

True

The solution is

x = \frac{1599}{4}

4 1 + 16 x = 24

- 2 2 x - 8 - 4 = 12

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2 x - 6 - x - 4 = 1

x - 6 = 5