SOLUTION: Which value of C in the equation y = x2 - 5x + C will provide zeros at x = -1 and x = 6? C = -6 C = -1 C = 1 C = 6

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Question 983097: Which value of C in the equation y = x2 - 5x + C will provide zeros at x = -1 and x = 6?

C = -6
C = -1
C = 1
C = 6

Found 3 solutions by MathLover1, josgarithmetic, MathTherapy:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Which value of C in the equation y+=+x%5E2+-+5x+%2B+C will provide zeros at x%5B1%5D+=+-1 and+x+%5B2%5D=+6?
to find out, use zero product theorem
%28x-x%5B1%5D%29%28x-x%5B2%5D%29=0
%28x-%28-1%29%29%28x-6%29=0
%28x%2B1%29%28x-6%29=0
x%5E2-6x%2Bx-6=0
x%5E2-5x-6=0

when you compare it to y+=+x%5E2+-+5x+%2B+C, you see that highlight%28C=-6%29
so, your equation is:
y+=+x%5E2+-+5x+%2B%28-6%29
or
y+=+x%5E2+-+5x-6
check it on a graph:

+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E2-5x-6%29+


Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
%285%2B-+sqrt%2825-4C%29%29%2F2, any zeros;

%285-sqrt%2825-4C%29%29%2F2=-1
and
%285%2Bsqrt%2825-4C%29%29%2F2=6

Solve for C.

Answer by MathTherapy(10557) About Me  (Show Source):
You can put this solution on YOUR website!

Which value of C in the equation y = x2 - 5x + C will provide zeros at x = -1 and x = 6?

C = -6
C = -1
C = 1
C = 6 
y+=+x%5E2+-+5x+%2B+C

Product of roots = c%2Fa

Also, product of roots = - 1(6), or - 6

Therefore, c%2Fa+=+-+6, or c%2F1+=+-+6, or highlight_green%28C+=+-+6%29