SOLUTION: \sqrt{x}+ 4 = 2\sqrt{x+5} solve and check

Algebra.Com
Question 164396: \sqrt{x}+ 4 = 2\sqrt{x+5} solve and check
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!






Look similar to a quadratic equation, let's use a substitution.
Let .

This quadratic equation can be factored.

.
.
.
First solution




.
.
.
Second solution



.
.
.
Let's check the answers.
.
.
.
First solution: x=4/9






.
.
.
Second solution: x=4





.
.
.
Both answers have been checked.

RELATED QUESTIONS

can some one please check this for me? I had to solve and check sqrt{{{x+4}}}=3... (answered by jim_thompson5910)
Solve the following equation for ‘x’ and check for extraneous solutions:... (answered by Edwin McCravy)
Solve The Equation & Check: a)\sqrt(q+2)=7... (answered by MathLover1,MathTherapy)
solve radical equation and check solution....???...... (answered by jsmallt9)
Solve and check for extraneous solutions {{{ sqrt ( x+10 ) + sqrt ( 3-x )= 5 }}}... (answered by 31,MathTherapy)
sqrt(5) * sqrt(10) * sqrt(x^2)... (answered by jim_thompson5910,mananth)
Solve the equation... (answered by Alan3354)
solve: sqrt of x+5 + sqrt of x-3 =... (answered by EMStelley,edjones)
solve and check: SQRT of x-1... (answered by Nate)