Вопрос школьника по предмету Алгебра
Решите квадратное уравнение
2(5x−16)в квадрате−7(5x−16)+6=0
Ответ учителя по предмету Алгебра
2(5x-16)²-7(5x-16)+6=0
a=5x-16
2a²-7a+6=0
D=(-7)²-4*2*6=49-48=1
a(1)=(7+1)/4=8/4=2
a(2)=(7-1)/4=6/4=1,5
5x-16=2 5x-16=1,5
5x=18 5x=17,5
x=18/5
x₂=3,5
x₁= 3,6
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