SOLUTION: Describe the nature and the number of the solutions of 2x^2-7x+9=x+1

Question 554524: Describe the nature and the number of the solutions of 2x^2-7x+9=x+1
Found 2 solutions by josmiceli, kkasko:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
This is determined by what is called the " discriminant "
This is in the formula for the roots
which is
In this case:

The discriminant is zero, which means there is 1 solution,
which is called a double root. Here's a plot of the
equation. Notice it touches the x-axis at 1 point

Answer by kkasko(46) (Show Source): You can put this solution on YOUR website!
Describe the nature and the number of the solutions of 2x^2-7x+9=x+1
2x^2-7x+9=x+1
-x. -1
2x^2-8x+8=0
a=2 b=-8 c=8
b^2-4(a)(c)
-8^2-4(2)(8)
64-64
=0
The nature of the roots is two real equal roots. Meaning their really is only one solution. The solution is (2,0)
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