SOLUTION: Find the points of intersection of the graphs of y= 3x + 2, and y = 2x^2 + 11x +10, using pen and paper methods.

Algebra ->  Graphs -> SOLUTION: Find the points of intersection of the graphs of y= 3x + 2, and y = 2x^2 + 11x +10, using pen and paper methods.       Log On


   

Question 778289: Find the points of intersection of the graphs of y= 3x + 2, and y = 2x^2 + 11x +10, using pen and paper methods.
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
Manual graphing would best be done after first completing the square on the parabola to put it into standard form, so you can directly read the vertex and any roots from the equation. A start to the process would be,...
y=2%28x%5E2%2B11x%2F2%2B5%29
y=2%28x%5E2%2B%2811%2F2%29x%2B%2811%2F4%29%5E2%2B5-%2811%2F4%29%5E2%29
y=2%28+%28x%2B11%2F4%29%5E2%2B5-%2811%2F4%29%5E2+%29
..
.
You finish.

A graph should look about like
graph%28300%2C300%2C-10%2C10%2C-9%2C9%2C2x%5E2%2B11x%2B10%2C3x%2B2%29