MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Solving Equations with Variables on Both Sides

Solve the fol...

Question

Solve the following equation:
$\sqrt{x + 2} - \sqrt{2 x - 3} = \sqrt{4 x - 7}$

Open in App

Solution

Consider the domains of functions
$x > - 2, x > \frac{3}{2}, x > \frac{7}{4}$
By trial and error method put $x = 2$
Equation is Satisfied...

Suggest Corrections

thumbs-up

0

Similar questions

x

the following equation:

l o g_{(2 x + 3)} (6 x^{2} + 23 x + 21) = 4 - l o g_{(3 x + 7)} (4 x^{2} + 12 x + 9)

.

Q. Solve the following equation.

x^{2} y^{2} - 2 x + y^{2} = 0, 2 x^{2} - 4 x + 3 + y^{3} = 0

.

Q. Solve the following equation:

\sqrt{x^{2} + 2 x + 1} - \sqrt{x^{2} - 4 x + 4} = 3

Q. Solve the following inequality:

\frac{(x - 2) (x - 4) (x - 7)}{(x + 2) (x + 4) (x + 7)} > 1

Q. Solve the following equation and verify your answer:

\frac{2 x - (7 - 5 x)}{9 x - (3 + 4 x)} = \frac{7}{6}

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Questions

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Solving Equations with Variables on Both Sides

Standard VIII Mathematics

Join BYJU'S Learning Program

CrossIcon