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29 votes
29 votes
Question number 3 is what I need help with. The second step pictured is pointless. I just need help with the steps one 3, and 4.

Question number 3 is what I need help with. The second step pictured is pointless-example-1
User Sreedeepkesav M S
by
2.9k points

1 Answer

11 votes
11 votes

\begin{gathered} y=x+5 \\ y=-x^2+x+6 \end{gathered}

in order to find the intersection of both functions equal the expressions


x+5=-x^2+x+6

equal to 0 the expression by bringing all to one side


x+5+x^2-x-6=0

simplify the expression


x^2-1=0

solve the expression


\begin{gathered} x^2=1 \\ x=\pm\sqrt[]{1} \\ x_1=1;x_2=-1 \end{gathered}

the graphs intercept at x=-1 and x=1

User Suyash Dixit
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3.7k points
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