SOLUTION: If one root of k(x − 1)2 = 5x−7 is double the other root, show that k = 2 or −25.

Question 1119477: If one root of k(x − 1)2 = 5x−7 is double the other root, show that k = 2 or −25.
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!

Algebraic steps lead to
.

If r is one root, then if as given one root is double the other, other root is 2r.

SUM OF ROOTS

PRODUCT OF ROOTS

-
If the sum of roots equation is used to solve for r in terms of k, and then r^2 calculated and substituted into the product-of-roots equation, ... the algebra steps will lead to when simplified, .

This factorizes to .
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SOLUTION: If one root of k(x &#8722; 1)2 = 5x&#8722;7 is double the other root, show that k = 2 or &#8722;25.

SOLUTION: If one root of k(x − 1)2 = 5x−7 is double the other root, show that k = 2 or −25.