Solve the radical equation and check all proposed solutions. x-\sqrt{3x-2}

glasskerfu

glasskerfu

Answered question

2021-09-12

Solve the radical equation and check all proposed solutions.
x3x2=4

Answer & Explanation

SoosteethicU

SoosteethicU

Skilled2021-09-13Added 102 answers

Equation given is
x3x2=4 
Rearranging the terms 
x4=3x2 
Squaring both side 
(x4)2=(3x2)2 
x22×4×x+42=3x2 
x28x+16=3x2 
x211x+18=0 
Immediately resolve the quadratic equation
x211x+18=0 
x29x2x+18=0 
x(x9)2(x9)=0 
(x2)(x9)=0 
Hence, x=2,9

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?