Solve the equation. \sqrt{7x+2}+x=6

rocedwrp

rocedwrp

Answered question

2021-09-20

Solve the equation.
7x+2+x=6

Answer & Explanation

curwyrm

curwyrm

Skilled2021-09-21Added 87 answers

Step 1
We have to solve the given equation
The equation is
7x+2+x=6
Step 2
We have
7x+2+x=6
we can write it as
7x+2=6x
Now take squares on both sides
(7x+2)2=(6x)2
7x+2=6226x+x2
7x+2=3612x+x2
take everything on one side
0=x212x7x+362
0=x219x+34
split the middle term
x217x2x+34=0
x(x-17)-2(x-17)=0
(x-17)(x-2)=0
(x-17)=0 Or (x-2)=0
x=17 Or x=2
Answer:
x=17 Or x=2

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