Объяснение:

[tex]a)\\\\5x^2=9x+2\\\\5x^2-9x-2=0\\\\5x^2-10x+x-2=0\\\\5x*(x-2)+(x-2)=0\\\\(x-2)*(5x+1)=0\\\\x-2=0\\\\x_1=2\\\\5x+1=0\\\\5x=-1\ |:5\\\\x_2=-0,2.[/tex]

Ответ: x₁=2,   x₂=-0,2.

[tex]b)\\\\-x^2=5x-14\\\\x^2+5x-14=0\\\\x^2+7x-2x-14=0\\\\x*(x+7)-2*(x+7)=0\\\\(x+7)*(x-2)=0\\\\x+7=0\\\\x_1=-7\\\\x-2=0\\\\x_2=2.[/tex]

Ответ: x₁=-7,  x₂=2.