SOLUTION: I have to solve the equation graphically. Must move all terms to left side and then locate the x-intercepts 0n the graph of the equation where y=left side. The equation: {{{3+

Algebra ->  Graphs -> SOLUTION: I have to solve the equation graphically. Must move all terms to left side and then locate the x-intercepts 0n the graph of the equation where y=left side. The equation: {{{3+      Log On


   

Question 48927: I have to solve the equation graphically. Must move all terms to left side and then locate the x-intercepts 0n the graph of the equation where y=left side. The equation:
3%2Bsqrt%28x-1%29=x
Having trouble factoring and finding intercepts.
Found 2 solutions by Nate, alka001:
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
3+%2B+sqrt%28x+-+1%29+=+x
sqrt%28x+-+1%29+=+x+-+3
x+-+1+=+x%5E2+-+6x+%2B+9
0+=+x%5E2+-+7x+%2B+10
0+=+%28x+-+5%29%28x+-+2%29
x = 5 and x = 2
graph%28600%2C600%2C-10%2C10%2C-10%2C10%2Cx%5E2-7x%2B10%29
When plugged, five works but two does not.

Answer by alka001(14) About Me  (Show Source):
You can put this solution on YOUR website!
3+sqrt(x-1)=x
sqrt(x-1)=x-3
squaring both sides
x-1=(x-3)^2
x-1=x^2-6x+9
x^2-7x+10=0
x^2-5x-2x+10=0
x(x-5)-2(x-5)=0
(x-2)(x-5)=0
x-2=0 &x-5=0
x=2,5
so x intercepts are 2,5