What is the answer to 4/((sqrt(x)))=3+sqrt(x) ?

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

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4/((sqrt(x)))=3+sqrt(x)

\frac{4}{( x )} = 3 + x

x = 1

Solution steps

\frac{4}{( x )} = 3 + x

Multiply both sides by

x

\frac{4}{x} x = 3 x + x x

Simplify

4 = 3 x + (x)^{2}

Subtract

3 x + (x)^{2}

from both sides

4 - (3 x + (x)^{2}) = 3 x + (x)^{2} - (3 x + (x)^{2})

Simplify

4 - 3 x - (x)^{2} = 0

Factor

4 - 3 x - (x)^{2} : - (x - 1) (x + 4)

- (x - 1) (x + 4) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 1 = 0 or x + 4 = 0

Solve

x - 1 = 0 : x = 1

Solve

x + 4 = 0 :

No Solution for

x \in R

x = 1

Verify Solutions:

x = 1

True

The solution is

x = 1

5 x^{2} - 3 3 x - 6 = 0

\frac{6}{( x - 1 ) - 2 x - 1} = 1

\frac{2}{( 2 x + 1 ) + 1} = x

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

d, b = r - r^{2} - d^{2}

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