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

Solución

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

Solución

x = 1

Pasos de solución

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

Multiplicar ambos lados por

x

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

Simplificar

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

Restar

3 x + (x)^{2}

de ambos lados

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

Simplificar

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

Factorizar

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

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

Utilizando el teorema de factor cero: si

ab = 0

entonces

a = 0

o

b = 0

x - 1 = 0 or x + 4 = 0

Resolver

x - 1 = 0 : x = 1

Resolver

x + 4 = 0 :

Sin solución para

x \in R

x = 1

Verificar las soluciones:

x = 1

Verdadero

La solución es

x = 1

Ejemplos populares

5x^2-3sqrt(3x)-6=0

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

6/((sqrt(x-1))-2\sqrt{x-1)}=1

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

2/((sqrt(2x+1))+1)=x

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

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

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

solvefor d,b=r-sqrt(r^2-d^2)resolver para

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