What is the answer to sqrt(-4x+1)+sqrt(4x+3)=2 ?

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

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sqrt(-4x+1)+sqrt(4x+3)=2

- 4 x + 1 + 4 x + 3 = 2

x = \frac{1}{4}, x = - \frac{3}{4}

Decimal Notation

x = 0.25, x = - 0.75

Solution steps

- 4 x + 1 + 4 x + 3 = 2

Remove square roots

64 x^{2} + 96 x + 36 = 64 x + 48

Solve

64 x^{2} + 96 x + 36 = 64 x + 48 : x = \frac{1}{4}, x = - \frac{3}{4}

x = \frac{1}{4}, x = - \frac{3}{4}

Verify Solutions:

x = \frac{1}{4}

True

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

True

The solutions are

x = \frac{1}{4}, x = - \frac{3}{4}

6 4 - 7 x = 30

3 x + 10 - x + 2 = 2

x - 3 x - 5 = 3

(2 x + 1)^{(\frac{1}{3})} - 3 = - 5

- 3 = x + 2

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