One root of the quadratic equation [tex]x^2 - 2x + m = 0[/tex] is 9. If the other root is [tex]n[/tex], what is [tex]n - m[/tex]?
Answer (2)
9 2 − 2 ∗ 9 + m = 0 81 − 18 + m = 0 m = − 63
x 2 − 2 x − 63 = 0 Δ = ( − 2 ) 2 − 4.1. ( − 63 ) = 4 + 252 = 256 x = 2 2 ± 16 x 1 = 2 18 = 9 n = x 2 = 2 − 14 = − 7 n − n = − 7 − ( − 63 ) = − 7 + 63 = 56
The value of n − m is − 70 based on the roots of the quadratic equation where one root is 9 and the other is − 7 . The value of m was determined to be 63 .
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