2. Complex Numbers & Quadratics

Solve the following equations simultaneously.

Equation $1$1 | $y=x^2+3x$y=x2+3x |

Equation $2$2 | $y=-x+21$y=−x+21 |

a

First solve for $x$`x`.

b

Find the value of $y$`y` at the point of intersection where $x=3$`x`=3.

c

Find the value of $y$`y` at the point of intersection where $x=-7$`x`=−7.

Easy

Approx 4 minutes

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Using graphs, tables, or successive approximations, show that the solution to the equation f(x) = g(x) is the x-value where the y-values of f(x) and g(x) are the same.