SOLUTION: pls help me to answer: the roots of quadratic equation x^2-7x+c differ by 1. find c.

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Question 890743: pls help me to answer: the roots of quadratic equation x^2-7x+c differ by 1. find c.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39618)   (Show Source): You can put this solution on YOUR website!
, according to general formula, if the quadratic polynomial equals 0.

, initially expecting c>0 and the minus root is less than the plus root.





, after squaring both sides
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

pls help me to answer: the roots of quadratic equation x^2-7x+c differ by 1. find c.


Let larger root be L

Then smaller root = L - 1

Sum of roots = L + L - 1, or 2L - 1

Also, sum of roots = , or , or 7

Therefore, 2L - 1 = 7

2L = 8

L, or larger root = , or 4

Smaller root = 4 - 1, or 3



Product of roots = 4(3), or 12 

Also, product of roots = , or _______  

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