What is the answer to 4=4sqrt(X+1)-1 ?

The answer to 4=4sqrt(X+1)-1 is X= 9/16

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4=4sqrt(X+1)-1

4 = 4 X + 1 - 1

X = \frac{9}{16}

Decimal Notation

X = 0.5625

Solution steps

4 = 4 X + 1 - 1

Switch sides

4 X + 1 - 1 = 4

Move

1

to the right side

4 X + 1 = 5

Divide both sides by

4

X + 1 = \frac{5}{4}

Square both sides:

X + 1 = \frac{25}{16}

X + 1 = \frac{25}{16}

Solve

X + 1 = \frac{25}{16} : X = \frac{9}{16}

X = \frac{9}{16}

Verify Solutions:

X = \frac{9}{16}

True

The solution is

X = \frac{9}{16}

x + x - 2 = 0

\frac{y}{y ^{(\frac{1}{2})}} = 6

- 14 = - x^{2} x + 5

x + 2 - 4 x = 3

\frac{3 x - 2}{2 x - 1} = 0