SOLUTION: How do I find the zeroes of a function of f(x)= -x squared plus 3x plus 6 ?

Question 187133This question is from textbook Precalculus
: How do I find the zeroes of a function of f(x)= -x squared plus 3x plus 6 ? This question is from textbook Precalculus

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given function

Plug in

Multiply EVERY term by -1 to make the leading coefficient positive.

Notice we have a quadratic equation in the form of where , , and

Let's use the quadratic formula to solve for x

Start with the quadratic formula

Plug in , , and

Negate to get .

Square to get .

Multiply to get

Rewrite as

Add to to get

Multiply and to get .

or Break up the expression.

So the answers are or

which approximate to or
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