x² - 3x - 10 = 0
x = (3 ± √9 + 40)/2
x = (3 ± √49)/2
x = (3 ± 7)/2
x' = (3 + 7)/2
x' = 10/2
x' = 5
x'' = (3 - 7)/2
x'' = -4/2
x'' = -2
-2 e 5
f(x) => 2x-3x-10=0
......... 2x-3x=0+10
.......... -x=10......x(-1)
........... x=-10
x² - 3x - 10 = 0
x1 = A - B
x2 = A + B
x1 + x2 = 2A = 3
A = 3/2
x1*x2 = A² - B²
-10 = 9/4 - B²
B² = 9/4 + 10 = 49/4
B = 7/2
x1 = A + B = 3/2 + 7/2 = 5
x2 = A - B = 3/2 - 7/2 = -4/2 = -2
pronto
Copyright © 2024 QUIZLIB.COM - All rights reserved.
Answers & Comments
Verified answer
x² - 3x - 10 = 0
x = (3 ± √9 + 40)/2
x = (3 ± √49)/2
x = (3 ± 7)/2
x' = (3 + 7)/2
x' = 10/2
x' = 5
x'' = (3 - 7)/2
x'' = -4/2
x'' = -2
-2 e 5
f(x) => 2x-3x-10=0
......... 2x-3x=0+10
.......... -x=10......x(-1)
........... x=-10
x² - 3x - 10 = 0
x1 = A - B
x2 = A + B
x1 + x2 = 2A = 3
A = 3/2
x1*x2 = A² - B²
-10 = 9/4 - B²
B² = 9/4 + 10 = 49/4
B = 7/2
x1 = A + B = 3/2 + 7/2 = 5
x2 = A - B = 3/2 - 7/2 = -4/2 = -2
pronto