What is the answer to sqrt(1-20x)-2sqrt(x+1)=3 ?

The answer to sqrt(1-20x)-2sqrt(x+1)=3 is x=-3/4

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sqrt(1-20x)-2sqrt(x+1)=3

1 - 20 x - 2 x + 1 = 3

x = - \frac{3}{4}

Decimal Notation

x = - 0.75

Solution steps

1 - 20 x - 2 x + 1 = 3

Remove square roots

576 x^{2} + 576 x + 144 = 144 x + 144

Solve

576 x^{2} + 576 x + 144 = 144 x + 144 : x = 0, x = - \frac{3}{4}

x = 0, x = - \frac{3}{4}

Verify Solutions:

x = 0

False

, x = - \frac{3}{4}

True

The solution is

x = - \frac{3}{4}

27 - 6 x = x

x^{2} + 3 x + 7 = x + 2

n = \frac{24 x + 1 + 1}{6}

3 x + 6 = x - 4

- 5 = 3 x - 7

What is the answer to sqrt(1-20x)-2sqrt(x+1)=3 ?
The answer to sqrt(1-20x)-2sqrt(x+1)=3 is x=-3/4
Solve for x: sqrt(1-20x)-2sqrt(x+1)=3
The solution is x=-3/4