1) Решите 6х^2=5х+1 2) Найти сумму корней Х^2-3х+7х=77. Created by Hihikz. algebra-ru

1) Решите 6х^2=5х+1 2) Найти сумму корней Х^2-3х+7х=77...

Hihikz @Hihikz

July 2022 1 4 Report

1) Решите 6х^2=5х+1
2) Найти сумму корней
Х^2-3х+7х=77

Answers & Comments

witch2

Verified answer

6х^2=5х+1
6x^2 - 5x - 1 = 0
D = 25 - 4*6*(-1) = 25 + 24 - 49 = 7^2
x = 5+7 / 2*6 = 12 / 12 = 1
x = 5-7 / 2*6 = -2 / 12 = -1/6

Х^2-3х+7х=77
x^2 + 4x - 77 = 0
D = 4^2 - 4*1*(-77) = 16 + 308 = 324 = 18^2
x = -4 +18 / 2 = 14/2 = 7
x = -4 - 18 / 2 = -22/2 = - 11

сумму корней 7 + (-11) = -4
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