SOLUTION: 10. a) Write a quadratic equation in the form ax 2 bx c 0 with roots of 6 and 7. b) What would happen to the roots if you multiplied both sides of the equation in

Question 697057: 10. a) Write a quadratic equation in the
form ax
2
bx c 0 with roots
of 6 and 7.
b) What would happen to the roots if
you multiplied both sides of the
equation in part a) by 3? Explain.
Found 2 solutions by lwsshak3, MathLover1:
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
The roots would be the same but the shape of the curve (parabola) would be narrower or steeper, in effect increasing the slope of the curve.
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!

a)

with roots of and
...where and are given roots

.......a quadratic equation

b) What would happen to the roots if you both sides of the
equation in part a) by

the roots will remain same, if you multiply or divide both sides of an equation by the same number, it does not change the equality of the equation

however, the absolute value of the "" value increases from to , and the graph becomes ""
here are both parabolas on a graph:

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