SOLUTION: The equation x²+ px +4 = 0, where p and q are constants, has roots -1 and 4. a) Find the values of p and q. b) Using these values of p and q. find the value of r, where r is a

Question 1177572: The equation x²+ px +4 = 0, where p and q are constants, has roots -1 and 4. a) Find the values of p and q.
b) Using these values of p and q. find the value of r, where r is a constant, and the equation x² + px + r=0 has equal roots.
Found 3 solutions by greenestamps, MathLover1, ikleyn:
Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!

Faulty presentation of the problem -- there is no q in the original equation.

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
is missing from given equation, so I assume you have

a) Find the values of and .

use the rule: sum of the roots =
roots are and , sum is
.........,

and
product of the roots =

,

b) Using these values of and find the value of , where is a constant, and the equation
has roots

.....if equation has roots, write left side as square of difference
sum of the roots
..............eq.1. since has roots,

product of the roots =
..............eq.2

and your equatio is:

Answer by ikleyn(52794)   (Show Source): You can put this solution on YOUR website!
.

        How @MathLover1 treats this problem, is OUT of the HUMAN's understanding.

The only way to treat it CORRECTLY, is to note to the visitor that his (or her) post is DEFECTIVE,
since it DOES NOT contain q.

That is all.

The rest are @MathLover1 fantasies.

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