SOLUTION: Where does the graph of y = 2x^2 − x − 3 cross the x-axis?
A. (−, 0) and (3, 0)
B. (, 0) and (−3, 0)
C. (−, 0) and (1, 0)
D. (, 0) and (&#
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Question 582589: Where does the graph of y = 2x^2 − x − 3 cross the x-axis?
A. (−, 0) and (3, 0)
B. (, 0) and (−3, 0)
C. (−, 0) and (1, 0)
D. (, 0) and (−1, 0)
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Simply set y equal to zero and solve for x:
Start with the given equation
Plug in y = 0
Flip the equation.
Notice that the quadratic is in the form of where , , and
Let's use the quadratic formula to solve for "x":
Start with the quadratic formula
Plug in , , and
Negate to get .
Square to get .
Multiply to get
Rewrite as
Add to to get
Multiply and to get .
Take the square root of to get .
or Break up the expression.
or Combine like terms.
or Simplify.
So the solutions are or
This means that the x-intercepts are (3/2, 0) and (-1, 0). These are the points where the graph crosses the x-axis.
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