What is the answer to ((sqrt(x)+3))/((sqrt(x)-2))=((3sqrt(x)-5))/((3sqrt(x)-13)) ?

The answer to ((sqrt(x)+3))/((sqrt(x)-2))=((3sqrt(x)-5))/((3sqrt(x)-13)) is x=49

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((sqrt(x)+3))/((sqrt(x)-2))=((3sqrt(x)-5))/((3sqrt(x)-13))

Solution

\frac{( x + 3 )}{( x - 2 )} = \frac{( 3 x - 5 )}{( 3 x - 13 )}

Solution

x = 49

Solution steps

\frac{( x + 3 )}{( x - 2 )} = \frac{( 3 x - 5 )}{( 3 x - 13 )}

Apply fraction cross multiply: if

\frac{a}{b} = \frac{c}{d}

then

a \cdot d = b \cdot c

(x + 3) (3 x - 13) = (x - 2) (3 x - 5)

Expand

(x + 3) (3 x - 13) : 3 x - 4 x - 39

Expand

(x - 2) (3 x - 5) : 3 x - 11 x + 10

3 x - 4 x - 39 = 3 x - 11 x + 10

Subtract

3 x

from both sides

3 x - 4 x - 39 - 3 x = 3 x - 11 x + 10 - 3 x

Simplify

- 4 x - 39 = - 11 x + 10

Move

39

to the right side

- 4 x = - 11 x + 49

Move

11 x

to the left side

7 x = 49

Divide both sides by

7

x = 7

Square both sides:

x = 49

x = 49

Verify Solutions:

x = 49

True

The solution is

x = 49

Popular Examples

((50s^{3/2}))/((3/2)-58.86s)=1890

\frac{( 50 s ^{\frac{3}{2}} )}{( \frac{3}{2} ) - 58.86 s} = 1890

x+3x^{2/3}+2=0

x + 3 x^{\frac{2}{3}} + 2 = 0

5-sqrt(x^2+10x+5)=sqrt(x^2)

5 - x^{2} + 10 x + 5 = x^{2}

solvefor x,sqrt(x)+sqrt(y)=4 solve for

x, x + y = 4

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

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

Frequently Asked Questions (FAQ)

What is the answer to ((sqrt(x)+3))/((sqrt(x)-2))=((3sqrt(x)-5))/((3sqrt(x)-13)) ?
The answer to ((sqrt(x)+3))/((sqrt(x)-2))=((3sqrt(x)-5))/((3sqrt(x)-13)) is x=49
Solve for x: ((sqrt(x)+3))/((sqrt(x)-2))=((3sqrt(x)-5))/((3sqrt(x)-13))
The solution is x=49

((sqrt(x)+3))/((sqrt(x)-2))=((3sqrt(x)-5))/((3sqrt(x)-13))

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is the answer to ((sqrt(x)+3))/((sqrt(x)-2))=((3sqrt(x)-5))/((3sqrt(x)-13)) ?

Solve for x: ((sqrt(x)+3))/((sqrt(x)-2))=((3sqrt(x)-5))/((3sqrt(x)-13))