find (b, c)

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The roots of $3x^2 - 4x + 15 = 0$ are the same as the roots of $x^2 + bx + c = 0$ for some constants $b$ and $c.$ Find the ordered pair $(b,c).$

Lilliam0216 Mar 20, 2024

CPhill · Answer 1 · 2024-03-20T07:28:22

Divide the given equation by 3

x^2 - (4/3)x + 5 = 0

This has the same roots

(b, c) = ( -4/3 , 5)