How do you solve #y = -2x^2 + 5x - 1#?
2 Answers
The roots are:
The approximate roots are:
Explanation:
Solve:
where:
Substitute
Solve using the quadratic equation.
Plug in the known value.
Simplify.
Simplify.
The roots are:
The approximate roots are:
graph{y=-2x^2+5x-1 [-10, 10, -5, 5]}
Explanation:
When we say "solution" instead of the entire curve, we usually mean the place(s) were the function is zero. That is, the "roots" of the equation are at:
Now you can solve this be number of ways - factoring, quadratic formula, and graphing.
This one may be solved most quickly with the quadratic formula.
in this case,