SOLUTION: Solve the following system of equations and show all work.
y = x2 + 3
y = x + 5 (10 points)
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Question 984450: Solve the following system of equations and show all work.
y = x2 + 3
y = x + 5 (10 points)
Found 2 solutions by Fombitz, rothauserc:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Since they both equal y, set them equal to each other.
Two solutions:
and
.
.
.
Now go back with each x and find the corresponding y value.
.
.
.
You can verify by plugging the values in the equation or by graphing.
Here's a graph.
.
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
set the two equations equal to each other
x^2 + 3 = x + 5
x^2 -x - 2 = 0
factor polynomial
(x+1) * (x-2) = 0
therefore, x = -1 or 2
******************************************
check the answers
a) x = -1
(-1)^2 + 3 = -1 + 5
1 + 3 = 4
4 = 4
b) x = 2
2^2 + 3 = 2 + 5
4 + 3 = 7
7 = 7
*******************************************
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