SOLUTION: simaltaneous linear and quadratic equation Y=2x+5,Y=2x^2-x+3

Algebra.Com
Question 1066108: simaltaneous linear and quadratic equation

Y=2x+5,Y=2x^2-x+3
Found 2 solutions by Edwin McCravy, josmiceli:
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!











,   
,    


        
    
          
            

Two solutions:  

(x,y) = 

(x,y) = (2,9)

Edwin
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
(1)
(2)
-----------------------------
Substitute (1) into (2)
(2)
(2)
-------------------------------
Use the quadratic formula




-------------------





and



-----------------------
Plug the x's back into (1) or (2) to get y's
-----------------------
(1)
(1)
(1)
and
(1)
(1)
(1)
(1)
-------------------------
The intersections are:
( 2, 9 ) and ( -1/2, 4 )
-------------------------
check:
(2)
(2)
(2)
(2)
OK
You can check ( -1/2, 4 )
--------------------------
Here's the plot:
RELATED QUESTIONS

What are the x– and y–intercepts of the quadratic equation y = x^2 + 2x –... (answered by htmentor)
Determine whether each function is linear or quadratic. Identify the quadratic, linear,... (answered by stanbon)
give the domain and range of the following linear and quadratic functions to show this: (answered by Boreal)
Is y=(2x+3)(x-4) a linear or... (answered by rfer)
linear equation by graphing x=y+4... (answered by Fombitz)
Determine the coordinates of the point(s) of intersection for the following... (answered by ewatrrr,ikleyn,josgarithmetic,math_tutor2020)
Quadratic Function from y = x + 3 and y = 5x + 2y passes (0, 3) is? A. Y= ˝x˛ - 2x + 3 (answered by josgarithmetic)
What is the Slope and y-intercept of the given linear equation? 1.y=x-1 2.y=1/2x=3... (answered by Alan3354)
what is the x and y intercept of this quadratic equation y=2x^2-6x+1 (answered by MathLover1)