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):
Answer by MathTherapy(10552)  (Show Source):
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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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