Question

Решите уравнение корень 16х^2 +24 х+9=5

Answer 1

$16x^2+24x+9=5;\\ 16x^2+24x+9-5=0; \\16x^2+24x+4=0 |:4 \\4x^2+6x+1=0; \\D=36-16=20; \\x_1= \frac{-6+ \sqrt{20} }{8}= \frac{2 \sqrt{5}-6 }{8}= \frac{ \sqrt{5}-3}{4}; \\x_2= \frac{-6- \sqrt{20}}{8}= \frac{- \sqrt{5}-3 }{4}.$