Question

Решите уравнение:
(8а-9)²-16а(4а-5)=-67

Answer 1

$(8a-9)^2-16a(4a-5)=-67 \\ 64a^2-144a+81-64a^2+80a=-67 \\ -64a+81=-67 \\ -64a=-148 \\ a=\frac{148}{64}=\frac{37}{16}=2\frac{5}{16} \\ a=2\frac{5}{16}$

Answer 2

$(8a-9)^2-16a(4a-5)=-67 \\ 64 a^2 - 144 a + 81 - 64a^2+80a=-67 \\ 81-64a=-67 \\ 148=64a \\ a = \frac{148}{64}$